Post-Quantum Cryptography in OpenPGP
draft-ietf-openpgp-pqc-09
| Document | Type | Active Internet-Draft (openpgp WG) | |
|---|---|---|---|
| Authors | Stavros Kousidis , Johannes Roth , Falko Strenzke , Aron Wussler | ||
| Last updated | 2025-05-15 | ||
| Replaces | draft-wussler-openpgp-pqc | ||
| RFC stream | Internet Engineering Task Force (IETF) | ||
| Intended RFC status | (None) | ||
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draft-ietf-openpgp-pqc-09
Network Working Group S. Kousidis
Internet-Draft BSI
Intended status: Informational J. Roth
Expires: 16 November 2025 F. Strenzke
MTG AG
A. Wussler
Proton AG
15 May 2025
Post-Quantum Cryptography in OpenPGP
draft-ietf-openpgp-pqc-09
Abstract
This document defines a post-quantum public-key algorithm extension
for the OpenPGP protocol. Given the generally assumed threat of a
cryptographically relevant quantum computer, this extension provides
a basis for long-term secure OpenPGP signatures and ciphertexts.
Specifically, it defines composite public-key encryption based on ML-
KEM (formerly CRYSTALS-Kyber), composite public-key signatures based
on ML-DSA (formerly CRYSTALS-Dilithium), both in combination with
elliptic curve cryptography, and SLH-DSA (formerly SPHINCS+) as a
standalone public key signature scheme.
About This Document
This note is to be removed before publishing as an RFC.
Status information for this document may be found at
https://datatracker.ietf.org/doc/draft-ietf-openpgp-pqc/.
Discussion of this document takes place on the WG Working Group
mailing list (mailto:openpgp@ietf.org), which is archived at
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https://www.ietf.org/mailman/listinfo/openpgp/.
Source for this draft and an issue tracker can be found at
https://github.com/openpgp-pqc/draft-openpgp-pqc.
Status of This Memo
This Internet-Draft is submitted in full conformance with the
provisions of BCP 78 and BCP 79.
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Copyright (c) 2025 IETF Trust and the persons identified as the
document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal
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Table of Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 5
1.1. Conventions used in this Document . . . . . . . . . . . . 5
1.1.1. Terminology for Multi-Algorithm Schemes . . . . . . . 6
1.2. Post-Quantum Cryptography . . . . . . . . . . . . . . . . 6
1.2.1. ML-KEM . . . . . . . . . . . . . . . . . . . . . . . 6
1.2.2. ML-DSA . . . . . . . . . . . . . . . . . . . . . . . 6
1.2.3. SLH-DSA . . . . . . . . . . . . . . . . . . . . . . . 6
1.3. Elliptic Curve Cryptography . . . . . . . . . . . . . . . 7
1.4. Standalone and Multi-Algorithm Schemes . . . . . . . . . 7
1.4.1. Standalone and Composite Multi-Algorithm Schemes . . 7
1.4.2. Non-Composite Algorithm Combinations . . . . . . . . 7
2. Supported Public Key Algorithms . . . . . . . . . . . . . . . 8
2.1. Algorithm Specifications . . . . . . . . . . . . . . . . 8
3. Algorithm Combinations . . . . . . . . . . . . . . . . . . . 9
3.1. Composite KEMs . . . . . . . . . . . . . . . . . . . . . 9
3.2. Composite Signatures . . . . . . . . . . . . . . . . . . 9
3.3. Multiple Signatures . . . . . . . . . . . . . . . . . . . 9
3.4. ECC requirements . . . . . . . . . . . . . . . . . . . . 9
3.5. Key version binding . . . . . . . . . . . . . . . . . . . 10
4. Composite KEM schemes . . . . . . . . . . . . . . . . . . . . 10
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4.1. Building Blocks . . . . . . . . . . . . . . . . . . . . . 10
4.1.1. ECDH KEMs . . . . . . . . . . . . . . . . . . . . . . 10
4.1.2. ML-KEM . . . . . . . . . . . . . . . . . . . . . . . 12
4.2. Composite Encryption Schemes with ML-KEM . . . . . . . . 13
4.2.1. Key combiner . . . . . . . . . . . . . . . . . . . . 14
4.2.2. Key generation procedure . . . . . . . . . . . . . . 15
4.2.3. Encryption procedure . . . . . . . . . . . . . . . . 15
4.2.4. Decryption procedure . . . . . . . . . . . . . . . . 16
4.3. Packet specifications . . . . . . . . . . . . . . . . . . 16
4.3.1. Public-Key Encrypted Session Key Packets (Tag 1) . . 16
4.3.2. Key Material Packets . . . . . . . . . . . . . . . . 17
5. Composite Signature Schemes . . . . . . . . . . . . . . . . . 18
5.1. Building blocks . . . . . . . . . . . . . . . . . . . . . 18
5.1.1. EdDSA-Based signatures . . . . . . . . . . . . . . . 18
5.1.2. ML-DSA signatures . . . . . . . . . . . . . . . . . . 19
5.2. Composite Signature Schemes with ML-DSA . . . . . . . . . 19
5.2.1. Key generation procedure . . . . . . . . . . . . . . 20
5.2.2. Signature Generation . . . . . . . . . . . . . . . . 20
5.2.3. Signature Verification . . . . . . . . . . . . . . . 20
5.3. Packet Specifications . . . . . . . . . . . . . . . . . . 20
5.3.1. Signature Packet (Tag 2) . . . . . . . . . . . . . . 20
5.3.2. Key Material Packets . . . . . . . . . . . . . . . . 21
6. SLH-DSA . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.1. The SLH-DSA Algorithms . . . . . . . . . . . . . . . . . 22
6.1.1. Key generation . . . . . . . . . . . . . . . . . . . 22
6.1.2. Signature Generation . . . . . . . . . . . . . . . . 22
6.1.3. Signature Verification . . . . . . . . . . . . . . . 22
6.2. Packet specifications . . . . . . . . . . . . . . . . . . 22
6.2.1. Signature Packet (Tag 2) . . . . . . . . . . . . . . 22
6.2.2. Key Material Packets . . . . . . . . . . . . . . . . 23
7. Notes on Algorithms . . . . . . . . . . . . . . . . . . . . . 23
7.1. Symmetric Algorithms for SEIPD Packets . . . . . . . . . 23
7.2. Hash Algorithms for Key Binding Signatures . . . . . . . 24
8. Migration Considerations . . . . . . . . . . . . . . . . . . 24
8.1. Encrypting to Traditional and PQ(/T) Keys . . . . . . . . 24
8.2. Signing with Traditional and PQ(/T) Keys . . . . . . . . 24
8.3. Generating PQ(/T) Keys . . . . . . . . . . . . . . . . . 24
9. Security Considerations . . . . . . . . . . . . . . . . . . . 24
9.1. Security Aspects of Composite Signatures . . . . . . . . 25
9.2. Key combiner . . . . . . . . . . . . . . . . . . . . . . 25
9.2.1. Domain separation and context binding . . . . . . . . 25
9.3. ML-DSA and SLH-DSA hedged variants . . . . . . . . . . . 26
9.4. Symmetric Algorithms for SEIPD Packets . . . . . . . . . 26
9.5. Key generation . . . . . . . . . . . . . . . . . . . . . 26
10. Additional considerations . . . . . . . . . . . . . . . . . . 26
10.1. Performance Considerations for SLH-DSA . . . . . . . . . 27
11. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 28
12. Changelog . . . . . . . . . . . . . . . . . . . . . . . . . . 30
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12.1. draft-wussler-openpgp-pqc-01 . . . . . . . . . . . . . . 30
12.2. draft-wussler-openpgp-pqc-02 . . . . . . . . . . . . . . 30
12.3. draft-wussler-openpgp-pqc-03 . . . . . . . . . . . . . . 30
12.4. draft-wussler-openpgp-pqc-04 . . . . . . . . . . . . . . 31
12.5. draft-ietf-openpgp-pqc-00 . . . . . . . . . . . . . . . 31
12.6. draft-ietf-openpgp-pqc-01 . . . . . . . . . . . . . . . 31
12.7. draft-ietf-openpgp-pqc-02 . . . . . . . . . . . . . . . 31
12.8. draft-ietf-openpgp-pqc-03 . . . . . . . . . . . . . . . 31
12.9. draft-ietf-openpgp-pqc-04 . . . . . . . . . . . . . . . 32
12.10. draft-ietf-openpgp-pqc-05 . . . . . . . . . . . . . . . 32
12.11. draft-ietf-openpgp-pqc-06 . . . . . . . . . . . . . . . 32
12.12. draft-ietf-openpgp-pqc-07 . . . . . . . . . . . . . . . 32
12.13. draft-ietf-openpgp-pqc-08 . . . . . . . . . . . . . . . 32
12.14. draft-ietf-openpgp-pqc-09 . . . . . . . . . . . . . . . 33
13. Contributors . . . . . . . . . . . . . . . . . . . . . . . . 33
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . 33
References . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Normative References . . . . . . . . . . . . . . . . . . . . . 33
Informative References . . . . . . . . . . . . . . . . . . . . 33
Appendix A. Test Vectors . . . . . . . . . . . . . . . . . . . . 35
A.1. Sample v6 Ed25519 with ML-KEM-768+X25519 Data . . . . . . 35
A.1.1. Transferable Secret Key . . . . . . . . . . . . . . . 35
A.1.2. Transferable Public Key . . . . . . . . . . . . . . . 36
A.1.3. Encrypted and Signed Message . . . . . . . . . . . . 38
A.2. Sample v4 Ed25519 with ML-KEM-768+X25519 Data . . . . . . 40
A.2.1. Transferable Secret Key . . . . . . . . . . . . . . . 40
A.2.2. Transferable Public Key . . . . . . . . . . . . . . . 42
A.2.3. Encrypted and Signed SEIPD v1 Message . . . . . . . . 44
A.2.4. Encrypted and Signed SEIPD v2 Message . . . . . . . . 45
A.3. Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data . . 46
A.3.1. Transferable Secret Key . . . . . . . . . . . . . . . 47
A.3.2. Transferable Public Key . . . . . . . . . . . . . . . 53
A.3.3. Encrypted and Signed Message . . . . . . . . . . . . 60
A.3.4. Detached signature . . . . . . . . . . . . . . . . . 62
A.4. Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data . . . . 64
A.4.1. Transferable Secret Key . . . . . . . . . . . . . . . 64
A.4.2. Transferable Public Key . . . . . . . . . . . . . . . 73
A.4.3. Encrypted and Signed Message . . . . . . . . . . . . 81
A.4.4. Detached signature . . . . . . . . . . . . . . . . . 85
A.5. Sample SLH-DSA-SHAKE-128s with ML-KEM-768+X25519 Data . . 87
A.5.1. Transferable Secret Key . . . . . . . . . . . . . . . 87
A.5.2. Transferable Public Key . . . . . . . . . . . . . . . 99
A.5.3. Encrypted and Signed Message . . . . . . . . . . . . 110
A.5.4. Detached signature . . . . . . . . . . . . . . . . . 115
A.6. Sample SLH-DSA-SHAKE-128f with ML-KEM-768+X25519 Data . . 118
A.6.1. Transferable Secret Key . . . . . . . . . . . . . . . 118
A.6.2. Transferable Public Key . . . . . . . . . . . . . . . 142
A.6.3. Detached signature . . . . . . . . . . . . . . . . . 165
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A.7. Sample SLH-DSA-SHAKE-256s with ML-KEM-1024+X448 Data . . 173
A.7.1. Transferable Secret Key . . . . . . . . . . . . . . . 173
A.7.2. Transferable Public Key . . . . . . . . . . . . . . . 214
A.7.3. Detached signature . . . . . . . . . . . . . . . . . 254
Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 267
1. Introduction
The OpenPGP protocol supports various traditional public-key
algorithms based on the factoring or discrete logarithm problem. As
the security of algorithms based on these mathematical problems is
endangered by the advent of quantum computers, there is a need to
extend OpenPGP by algorithms that remain secure in the presence of
quantum computers.
Such cryptographic algorithms are referred to as post-quantum
cryptography. The algorithms defined in this extension were chosen
for standardization by the National Institute of Standards and
Technology (NIST) in mid 2022 [NISTIR-8413] as the result of the NIST
Post-Quantum Cryptography Standardization process initiated in 2016
[NIST-PQC]. Namely, these are ML-KEM [FIPS-203] as a Key
Encapsulation Mechanism (KEM), a KEM being a modern building block
for public-key encryption, and ML-DSA [FIPS-204] as well as SLH-DSA
[FIPS-205] as signature schemes.
For the two ML-* schemes, this document follows the conservative
strategy to deploy post-quantum in combination with traditional
schemes such that the security is retained even if all schemes but
one in the combination are broken. In contrast, the stateless hash-
based signature scheme SLH-DSA is considered to be sufficiently well
understood with respect to its security assumptions in order to be
used standalone. To this end, this document specifies the following
new set: SLH-DSA standalone and the two ML-* as composite with ECC-
based KEM and digital signature schemes. Here, the term "composite"
indicates that any data structure or algorithm pertaining to the
combination of the two components appears as single data structure or
algorithm from the protocol perspective.
The document specifies the conventions for interoperability between
compliant OpenPGP implementations that make use of this extension and
the newly defined algorithms or algorithm combinations.
1.1. Conventions used in this Document
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1.1.1. Terminology for Multi-Algorithm Schemes
The terminology in this document is oriented towards the definitions
in [I-D.ietf-pquip-pqt-hybrid-terminology]. Specifically, the terms
"multi-algorithm", "composite" and "non-composite" are used in
correspondence with the definitions therein. The abbreviation "PQ"
is used for post-quantum schemes. To denote the combination of post-
quantum and traditional schemes, the abbreviation "PQ/T" is used.
The short form "PQ(/T)" stands for PQ or PQ/T.
1.2. Post-Quantum Cryptography
This section describes the individual post-quantum cryptographic
schemes. All schemes listed here are believed to provide security in
the presence of a cryptographically relevant quantum computer.
However, the mathematical problems on which the two ML-* schemes and
SLH-DSA are based, are fundamentally different, and accordingly the
level of trust commonly placed in them as well as their performance
characteristics vary.
1.2.1. ML-KEM
ML-KEM [FIPS-203] is based on the hardness of solving the Learning
with Errors problem in module lattices (MLWE). The scheme is
believed to provide security against cryptanalytic attacks by
classical as well as quantum computers. This specification defines
ML-KEM only in composite combination with ECDH encryption schemes in
order to provide a pre-quantum security fallback.
1.2.2. ML-DSA
ML-DSA [FIPS-204] is a signature scheme that, like ML-KEM, is based
on the hardness of solving the Learning With Errors problem and a
variant of the Short Integer Solution problem in module lattices
(MLWE and SelfTargetMSIS). Accordingly, this specification only
defines ML-DSA in composite combination with EdDSA signature schemes.
1.2.3. SLH-DSA
SLH-DSA [FIPS-205] is a stateless hash-based signature scheme. Its
security relies on the hardness of finding preimages for
cryptographic hash functions. This feature is generally considered
to be a high security guarantee. Therefore, this specification
defines SLH-DSA as a standalone signature scheme.
In deployments the performance characteristics of SLH-DSA should be
taken into account. We refer to Section 10.1 for a discussion of the
performance characteristics of this scheme.
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1.3. Elliptic Curve Cryptography
The ECDH encryption is defined here as a KEM via X25519 and X448
which are defined in [RFC7748]. EdDSA as defined in [RFC8032] is
used as the elliptic curve-based digital signature scheme.
1.4. Standalone and Multi-Algorithm Schemes
This section provides a categorization of the new algorithms and
their combinations.
1.4.1. Standalone and Composite Multi-Algorithm Schemes
This specification introduces new cryptographic schemes, which can be
categorized as follows:
* PQ/T multi-algorithm public-key encryption, namely a composite
combination of ML-KEM with an ECDH KEM,
* PQ/T multi-algorithm digital signature, namely composite
combinations of ML-DSA with EdDSA signature schemes,
* PQ digital signature, namely SLH-DSA as a standalone cryptographic
algorithm.
For each of the composite schemes, this specification mandates that
the consuming party has to successfully perform the cryptographic
algorithms for each of the component schemes used in a cryptographic
message, in order for the message to be deciphered and considered as
valid. This means that all component signatures must be verified
successfully in order to achieve a successful verification of the
composite signature. In the case of the composite public-key
decryption, each of the component KEM decapsulation operations must
succeed.
1.4.2. Non-Composite Algorithm Combinations
As the OpenPGP protocol [RFC9580] allows for multiple signatures to
be applied to a single message, it is also possible to realize non-
composite combinations of signatures. Furthermore, multiple OpenPGP
signatures may be combined on the application layer. These latter
two cases realize non-composite combinations of signatures.
Section 3.3 specifies how implementations should handle the
verification of such combinations of signatures.
Furthermore, the OpenPGP protocol also allows parallel encryption to
different keys by using multiple PKESK packets, thus realizing non-
composite multi-algorithm public-key encryption.
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2. Supported Public Key Algorithms
This section specifies the composite ML-KEM + ECDH and ML-DSA + EdDSA
schemes as well as the standalone SLH-DSA signature scheme. All of
these schemes are fully specified via their algorithm ID, i.e., they
are not parametrized.
2.1. Algorithm Specifications
For signatures, the following (composite) signature schemes are
specified:
+====+====================+=============+=============+
| ID | Algorithm | Requirement | Definition |
+====+====================+=============+=============+
| 30 | ML-DSA-65+Ed25519 | MUST | Section 5.2 |
+----+--------------------+-------------+-------------+
| 31 | ML-DSA-87+Ed448 | SHOULD | Section 5.2 |
+----+--------------------+-------------+-------------+
| 32 | SLH-DSA-SHAKE-128s | MAY | Section 6.1 |
+----+--------------------+-------------+-------------+
| 33 | SLH-DSA-SHAKE-128f | MAY | Section 6.1 |
+----+--------------------+-------------+-------------+
| 34 | SLH-DSA-SHAKE-256s | MAY | Section 6.1 |
+----+--------------------+-------------+-------------+
Table 1: Signature algorithm specifications
For encryption, the following composite KEM schemes are specified:
+====+===================+=============+=============+
| ID | Algorithm | Requirement | Definition |
+====+===================+=============+=============+
| 35 | ML-KEM-768+X25519 | MUST | Section 4.2 |
+----+-------------------+-------------+-------------+
| 36 | ML-KEM-1024+X448 | SHOULD | Section 4.2 |
+----+-------------------+-------------+-------------+
Table 2: KEM algorithm specifications
The specified algorithm IDs offer two security levels for each
scheme, for a tradeoff between security and performance. SLH-DSA is
also offered in a "fast" and a "small" variant to allow for further
tradeoffs. For SLH-DSA-SHAKE-256, only the "small" variant is
offered to contain signature size. See also Section 10.1 for further
considerations about parameter choices.
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3. Algorithm Combinations
3.1. Composite KEMs
The ML-KEM + ECDH public-key encryption involves both the ML-KEM and
an ECDH KEM in an a priori non-separable manner. This is achieved
via KEM combination, i.e. both key encapsulations/decapsulations are
performed in parallel, and the resulting key shares are fed into a
key combiner to produce a single shared secret for message
encryption.
As explained in Section 1.4.2, the OpenPGP protocol inherently
supports parallel encryption to different keys. Note that the
confidentiality of a message is not post-quantum secure when
encrypting to different keys if at least one key does not support
PQ(/T) encryption schemes.
3.2. Composite Signatures
The ML-DSA + EdDSA signature consists of independent ML-DSA and EdDSA
signatures, and an implementation MUST successfully validate both
signatures to state that the ML-DSA + EdDSA signature is valid.
3.3. Multiple Signatures
The OpenPGP message format allows multiple signatures of a message,
i.e. the attachment of multiple signature packets.
An implementation MAY sign a message with a traditional key and a
PQ(/T) key from the same sender. This ensures backwards
compatibility due to [RFC9580, Section 5.2.5] (https://www.rfc-
editor.org/rfc/rfc9580#section-5.2.5), since a legacy implementation
without PQ(/T) support can fall back on the traditional signature.
Newer implementations with PQ(/T) support MAY ignore the traditional
signature(s) during validation.
Implementations SHOULD consider the message correctly signed if at
least one of the non-ignored signatures validates successfully. This
is an interpretation of [RFC9580, Section 5.2.5] (https://www.rfc-
editor.org/rfc/rfc9580#section-5.2.5).
3.4. ECC requirements
Even though the zero point, also called the point at infinity, may
occur as a result of arithmetic operations on points of an elliptic
curve, it MUST NOT appear in any ECC data structure defined in this
document.
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Furthermore, when performing the explicitly listed operations in
Section 4.1.1.1 or Section 4.1.1.2 it is REQUIRED to follow the
specification and security advisory mandated from the respective
elliptic curve specification.
3.5. Key version binding
All (PQ/T) asymmetric algorithms are to be used only in v6 (and
newer) keys and certificates, with the single exception of ML-KEM-
768+X25519 (algorithm ID 35), which is also allowed in v4 encryption-
capable subkeys.
4. Composite KEM schemes
4.1. Building Blocks
4.1.1. ECDH KEMs
In this section we define the encryption, decryption, and data
formats for the ECDH component of the composite algorithms.
Table 3 describes the ECDH-KEM parameters and artifact lengths. The
artifacts in Table 3 follow the encodings described in [RFC7748].
+========================+===================+==================+
| | X25519 | X448 |
+========================+===================+==================+
| Algorithm ID reference | 35 | 36 |
+------------------------+-------------------+------------------+
| Field size | 32 octets | 56 octets |
+------------------------+-------------------+------------------+
| ECDH-KEM | x25519Kem | x448Kem (Section |
| | (Section 4.1.1.1) | 4.1.1.2) |
+------------------------+-------------------+------------------+
| ECDH public key | 32 octets | 56 octets |
| | [RFC7748] | [RFC7748] |
+------------------------+-------------------+------------------+
| ECDH secret key | 32 octets | 56 octets |
| | [RFC7748] | [RFC7748] |
+------------------------+-------------------+------------------+
| ECDH ephemeral | 32 octets | 56 octets |
| | [RFC7748] | [RFC7748] |
+------------------------+-------------------+------------------+
| ECDH key share | 32 octets | 56 octets |
| | [RFC7748] | [RFC7748] |
+------------------------+-------------------+------------------+
Table 3: Montgomery curves parameters and artifact lengths
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The various procedures to perform the operations of an ECDH KEM are
defined in the following subsections. Specifically, each of these
subsections defines the instances of the following operations:
(ecdhCipherText, ecdhKeyShare) <- ECDH-KEM.Encaps(ecdhPublicKey)
and
(ecdhKeyShare) <- ECDH-KEM.Decaps(ecdhSecretKey, ecdhCipherText, ecdhPublicKey)
To instantiate ECDH-KEM, one must select a parameter set from
Table 3.
4.1.1.1. X25519-KEM
The encapsulation and decapsulation operations of x25519kem are
described using the function X25519() and encodings defined in
[RFC7748]. The ecdhSecretKey is denoted as r, the ecdhPublicKey as
R, they are subject to the equation R = X25519(r, U(P)). Here, U(P)
denotes the u-coordinate of the base point of Curve25519.
The operation x25519Kem.Encaps() is defined as follows:
1. Generate an ephemeral key pair {v, V} via V = X25519(v,U(P))
where v is a randomly generated octet string with a length of 32
octets
2. Compute the shared coordinate X = X25519(v, R) where R is the
recipient's public key ecdhPublicKey
3. Set the output ecdhCipherText to V
4. Set the output ecdhKeyShare to X
The operation x25519Kem.Decaps() is defined as follows:
1. Compute the shared coordinate X = X25519(r, V), where r is the
ecdhSecretKey and V is the ecdhCipherText
2. Set the output ecdhKeyShare to X
4.1.1.2. X448-KEM
The encapsulation and decapsulation operations of x448kem are
described using the function X448() and encodings defined in
[RFC7748]. The ecdhSecretKey is denoted as r, the ecdhPublicKey as
R, they are subject to the equation R = X25519(r, U(P)). Here, U(P)
denotes the u-coordinate of the base point of Curve448.
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The operation x448.Encaps() is defined as follows:
1. Generate an ephemeral key pair {v, V} via V = X448(v,U(P)) where
v is a randomly generated octet string with a length of 56 octets
2. Compute the shared coordinate X = X448(v, R) where R is the
recipient's public key ecdhPublicKey
3. Set the output ecdhCipherText to V
4. Set the output ecdhKeyShare to X
The operation x448Kem.Decaps() is defined as follows:
1. Compute the shared coordinate X = X448(r, V), where r is the
ecdhSecretKey and V is the ecdhCipherText
2. Set the output ecdhKeyShare to X
4.1.2. ML-KEM
ML-KEM features the following operations:
(mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey)
and
(mlkemKeyShare) <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)
The above are the operations ML-KEM.Encaps and ML-KEM.Decaps defined
in [FIPS-203]. Note that mlkemPublicKey is the encapsulation and
mlkemSecretKey is the decapsulation key.
ML-KEM has the parametrization with the corresponding artifact
lengths in octets as given in Table 4. All artifacts are encoded as
defined in [FIPS-203].
+==============+=============+========+========+============+=======+
| Algorithm | ML-KEM | Public | Secret | Ciphertext | Key |
| ID | | key | key | | share |
| reference | | | | | |
+==============+=============+========+========+============+=======+
| 35 | ML-KEM-768 | 1184 | 64 | 1088 | 32 |
+--------------+-------------+--------+--------+------------+-------+
| 36 | ML-KEM-1024 | 1568 | 64 | 1568 | 32 |
+--------------+-------------+--------+--------+------------+-------+
Table 4: ML-KEM parameters artifact lengths in octets
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To instantiate ML-KEM, one must select a parameter set from the
column "ML-KEM" of Table 4.
The procedure to perform ML-KEM.Encaps() is as follows:
1. Invoke (mlkemCipherText, mlkemKeyShare) <- ML-
KEM.Encaps(mlkemPublicKey), where mlkemPublicKey is the
recipient's public key
2. Set mlkemCipherText as the ML-KEM ciphertext
3. Set mlkemKeyShare as the ML-KEM symmetric key share
The procedure to perform ML-KEM.Decaps() is as follows:
1. Invoke mlkemKeyShare <- ML-KEM.Decaps(mlkemCipherText,
mlkemSecretKey)
2. Set mlkemKeyShare as the ML-KEM symmetric key share
4.2. Composite Encryption Schemes with ML-KEM
Table 2 specifies the following ML-KEM + ECDH composite public-key
encryption schemes:
+========================+=============+===========+
| Algorithm ID reference | ML-KEM | ECDH-KEM |
+========================+=============+===========+
| 35 | ML-KEM-768 | x25519Kem |
+------------------------+-------------+-----------+
| 36 | ML-KEM-1024 | x448Kem |
+------------------------+-------------+-----------+
Table 5: ML-KEM + ECDH composite schemes
The ML-KEM + ECDH composite public-key encryption schemes are built
according to the following principal design:
* The ML-KEM encapsulation algorithm is invoked to create an ML-KEM
ciphertext together with an ML-KEM symmetric key share.
* The encapsulation algorithm of an ECDH KEM, namely X25519-KEM or
X448-KEM, is invoked to create an ECDH ciphertext together with an
ECDH symmetric key share.
* A Key-Encryption-Key (KEK) is computed as the output of a key
combiner that receives as input both of the above created
symmetric key shares and the protocol binding information.
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* The session key for content encryption is then wrapped as
described in [RFC3394] using AES-256 as algorithm and the KEK as
key.
* The PKESK packet's algorithm-specific parts are made up of the ML-
KEM ciphertext, the ECDH ciphertext, and the wrapped session key.
4.2.1. Key combiner
For the composite KEM schemes defined in Table 2 the following
procedure MUST be used to compute the KEK that wraps a session key.
The construction is a key derivation function compliant to
[SP800-56C], Section 4, based on SHA3-256. It is given by the
following algorithm, which computes the key encryption key KEK that
is used to wrap, i.e., encrypt, the session key.
// multiKeyCombine(
// mlkemKeyShare, ecdhKeyShare,
// ecdhCipherText, ecdhPublicKey,
// algId
// )
//
// Input:
// mlkemKeyShare - the ML-KEM key share encoded as an octet string
// ecdhKeyShare - the ECDH key share encoded as an octet string
// ecdhCipherText - the ECDH ciphertext encoded as an octet string
// ecdhPublicKey - the ECDH public key of the recipient as an octet string
// algId - the OpenPGP algorithm ID of the public-key encryption algorithm
KEK = SHA3-256(
mlkemKeyShare || ecdhKeyShare ||
ecdhCipherText || ecdhPublicKey ||
algId || domSep || len(domSep)
)
return KEK
The value domSep is a constant set to the UTF-8 encoding of the
string "OpenPGPCompositeKDFv1", i.e.
domSep = 4F 70 65 6E 50 47 50 43 6F 6D 70 6F 73 69 74 65 4B 44 46 76 31
Here len(domSep) is the single octet with the value equal to the
octet-length of domSep, i.e., decimal 21.
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4.2.2. Key generation procedure
The implementation MUST generate the ML-KEM and the ECDH component
keys independently. ML-KEM key generation follows the specification
[FIPS-203] and the artifacts are encoded as fixed-length octet
strings as defined in Section 4.1.2. For ECDH this is done following
the relative specification in [RFC7748], and encoding the outputs as
fixed-length octet strings in the format specified in Table 3.
4.2.3. Encryption procedure
The procedure to perform public-key encryption with an ML-KEM + ECDH
composite scheme is as follows:
1. Take the recipient's authenticated public-key packet pkComposite
and sessionKey as input
2. Parse the algorithm ID from pkComposite and set it as algId
3. Extract the ecdhPublicKey and mlkemPublicKey component from the
algorithm specific data encoded in pkComposite with the format
specified in Section 4.3.2.
4. Instantiate the ECDH-KEM and the ML-KEM depending on the
algorithm ID according to Table 5
5. Compute (ecdhCipherText, ecdhKeyShare) = ECDH-
KEM.Encaps(ecdhPublicKey)
6. Compute (mlkemCipherText, mlkemKeyShare) = ML-
KEM.Encaps(mlkemPublicKey)
7. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare,
ecdhCipherText, ecdhPublicKey, algId) as defined in Section 4.2.1
8. Compute C = AESKeyWrap(KEK, sessionKey) with AES-256 as per
[RFC3394] that includes a 64 bit integrity check
9. Output the algorithm specific part of the PKESK as
ecdhCipherText || mlkemCipherText || len(C, symAlgId) (||
symAlgId) || C, where both symAlgId and len(C, symAlgId) are
single octet fields, symAlgId denotes the symmetric algorithm ID
used and is present only for a v3 PKESK, and len(C, symAlgId)
denotes the combined octet length of the fields specified as the
arguments.
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4.2.4. Decryption procedure
The procedure to perform public-key decryption with an ML-KEM + ECDH
composite scheme is as follows:
1. Take the matching PKESK and own secret key packet as input
2. From the PKESK extract the algorithm ID as algId and the wrapped
session key as encryptedKey
3. Check that the own and the extracted algorithm ID match
4. Parse the ecdhSecretKey and mlkemSecretKey from the algorithm
specific data of the own secret key encoded in the format
specified in Section 4.3.2
5. Instantiate the ECDH-KEM and the ML-KEM depending on the
algorithm ID according to Table 5
6. Parse ecdhCipherText, mlkemCipherText, and C from encryptedKey
encoded as ecdhCipherText || mlkemCipherText || len(C,symAlgId)
(|| symAlgId) || C as specified in Section 4.3.1, where symAlgId
is present only in the case of a v3 PKESK.
7. Compute (ecdhKeyShare) = ECDH-KEM.Decaps(ecdhCipherText,
ecdhSecretKey, ecdhPublicKey)
8. Compute (mlkemKeyShare) = ML-KEM.Decaps(mlkemCipherText,
mlkemSecretKey)
9. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare,
ecdhCipherText, ecdhPublicKey, algId) as defined in
Section 4.2.1
10. Compute sessionKey = AESKeyUnwrap(KEK, C) with AES-256 as per
[RFC3394], aborting if the 64 bit integrity check fails
11. Output sessionKey
4.3. Packet specifications
4.3.1. Public-Key Encrypted Session Key Packets (Tag 1)
The algorithm-specific fields consist of the output of the encryption
procedure described in Section 4.2.3:
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* A fixed-length octet string representing an ECDH ephemeral public
key in the format associated with the curve as specified in
Section 4.1.1.
* A fixed-length octet string of the ML-KEM ciphertext, whose length
depends on the algorithm ID as specified in Table 4.
* A one-octet size of the following fields.
* Only in the case of a v3 PKESK packet: a one-octet symmetric
algorithm identifier.
* The wrapped session key represented as an octet string.
Note that like in the case of the algorithms X25519 and X448
specified in [RFC9580], for the ML-KEM composite schemes, in the case
of a v3 PKESK packet, the symmetric algorithm identifier is not
encrypted. Instead, it is placed in plaintext after the
mlkemCipherText and before the length octet preceding the wrapped
session key. In the case of v3 PKESK packets for ML-KEM composite
schemes, the symmetric algorithm used MUST be AES-128, AES-192 or
AES-256 (algorithm ID 7, 8 or 9).
In the case of a v3 PKESK, a receiving implementation MUST check if
the length of the unwrapped symmetric key matches the symmetric
algorithm identifier, and abort if this is not the case.
Implementations MUST NOT use the obsolete Symmetrically Encrypted
Data packet (tag 9) to encrypt data protected with the algorithms
described in this document.
4.3.2. Key Material Packets
The composite ML-KEM-768 + X25519 (algorithm ID 35) MUST be used only
with v4 or v6 keys, as defined in [RFC9580], or newer versions
defined by updates of that document.
The composite ML-KEM-1024 + X448 (algorithm ID 36) MUST be used only
with v6 keys, as defined in [RFC9580], or newer versions defined by
updates of that document.
The algorithm-specific public key is this series of values:
* A fixed-length octet string representing an EC point public key,
in the point format associated with the curve specified in
Section 4.1.1.
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* A fixed-length octet string containing the ML-KEM public key,
whose length depends on the algorithm ID as specified in Table 4.
The algorithm-specific secret key is these two values:
* A fixed-length octet string of the encoded secret scalar, whose
encoding and length depend on the algorithm ID as specified in
Section 4.1.1.
* A fixed-length octet string containing the ML-KEM secret key in
seed format, whose length is 64 octets (compare Table 4). The
seed format is defined in accordance with [FIPS-203], Section 3.3.
Namely, the secret key is given by the concatenation of the values
of d and z, generated in steps 1 and 2 of ML-KEM.KeyGen
[FIPS-203], each of a length of 32 octets. Upon parsing the
secret key format, or before using the secret key, for the
expansion of the key, the function ML-KEM.KeyGen_internal
[FIPS-203] has to be invoked with the parsed values of d and z as
input.
5. Composite Signature Schemes
5.1. Building blocks
5.1.1. EdDSA-Based signatures
Throughout this specification EdDSA refers to the PureEdDSA variant
defined in [RFC8032].
To sign and verify with EdDSA the following operations are defined:
(eddsaSignature) <- EdDSA.Sign(eddsaSecretKey, dataDigest)
and
(verified) <- EdDSA.Verify(eddsaPublicKey, eddsaSignature, dataDigest)
The public and secret key, as well as the signature MUST be encoded
according to [RFC8032] as fixed-length octet strings. The following
table describes the EdDSA parameters and artifact lengths:
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+==============+=========+=======+========+========+===========+
| Algorithm ID | Curve | Field | Public | Secret | Signature |
| reference | | size | key | key | |
+==============+=========+=======+========+========+===========+
| 30 | Ed25519 | 32 | 32 | 32 | 64 |
+--------------+---------+-------+--------+--------+-----------+
| 31 | Ed448 | 57 | 57 | 57 | 114 |
+--------------+---------+-------+--------+--------+-----------+
Table 6: EdDSA parameters and artifact lengths in octets
5.1.2. ML-DSA signatures
Throughout this specification ML-DSA refers to the default pure and
hedged version of ML-DSA defined in [FIPS-204].
For ML-DSA signature generation the default hedged version of the
algorithm ML-DSA.Sign given in [FIPS-204] is used. That is, to sign
with ML-DSA the following operation is defined:
(mldsaSignature) <- ML-DSA.Sign(mldsaSecretKey, dataDigest)
For ML-DSA signature verification the algorithm ML-DSA.Verify given
in [FIPS-204] is used. That is, to verify with ML-DSA the following
operation is defined:
(verified) <- ML-DSA.Verify(mldsaPublicKey, dataDigest, mldsaSignature)
ML-DSA has the parametrization with the corresponding artifact
lengths in octets as given in Table 7. All artifacts are encoded as
defined in [FIPS-204].
+========================+===========+========+========+===========+
| Algorithm ID reference | ML-DSA | Public | Secret | Signature |
| | | key | key | value |
+========================+===========+========+========+===========+
| 30 | ML-DSA-65 | 1952 | 32 | 3309 |
+------------------------+-----------+--------+--------+-----------+
| 31 | ML-DSA-87 | 2592 | 32 | 4627 |
+------------------------+-----------+--------+--------+-----------+
Table 7: ML-DSA parameters and artifact lengths in octets
5.2. Composite Signature Schemes with ML-DSA
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5.2.1. Key generation procedure
The implementation MUST generate the ML-DSA and the EdDSA component
keys independently. ML-DSA key generation follows the specification
[FIPS-204] and the artifacts are encoded as fixed-length octet
strings as defined in Section 5.1.2. For EdDSA this is done
following the relative specification in [RFC7748], and encoding the
artifacts as specified in Section 5.1.1 as fixed-length octet
strings.
5.2.2. Signature Generation
To sign a message M with ML-DSA + EdDSA the following sequence of
operations has to be performed:
1. Generate dataDigest according to [RFC9580, Section 5.2.4]
(https://www.rfc-editor.org/rfc/rfc9580#section-5.2.4)
2. Create the EdDSA signature over dataDigest with EdDSA.Sign() from
Section 5.1.1
3. Create the ML-DSA signature over dataDigest with ML-DSA.Sign()
from Section 5.1.2
4. Encode the EdDSA and ML-DSA signatures according to the packet
structure given in Section 5.3.1.
5.2.3. Signature Verification
To verify an ML-DSA + EdDSA signature the following sequence of
operations has to be performed:
1. Verify the EdDSA signature with EdDSA.Verify() from Section 5.1.1
2. Verify the ML-DSA signature with ML-DSA.Verify() from
Section 5.1.2
As specified in Section 3.2 an implementation MUST validate both
signatures, i.e. EdDSA and ML-DSA, successfully to state that a
composite ML-DSA + EdDSA signature is valid.
5.3. Packet Specifications
5.3.1. Signature Packet (Tag 2)
The composite ML-DSA + EdDSA schemes MUST be used only with v6
signatures, as defined in [RFC9580], or newer versions defined by
updates of that document.
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The algorithm-specific v6 signature parameters for ML-DSA + EdDSA
signatures consist of:
* A fixed-length octet string representing the EdDSA signature,
whose length depends on the algorithm ID as specified in Table 6.
* A fixed-length octet string of the ML-DSA signature value, whose
length depends on the algorithm ID as specified in Table 7.
5.3.2. Key Material Packets
The composite ML-DSA + EdDSA schemes MUST be used only with v6 keys,
as defined in [RFC9580], or newer versions defined by updates of that
document.
The algorithm-specific public key for ML-DSA + EdDSA keys is this
series of values:
* A fixed-length octet string representing the EdDSA public key,
whose length depends on the algorithm ID as specified in Table 6.
* A fixed-length octet string containing the ML-DSA public key,
whose length depends on the algorithm ID as specified in Table 7.
The algorithm-specific secret key for ML-DSA + EdDSA keys is this
series of values:
* A fixed-length octet string representing the EdDSA secret key,
whose length depends on the algorithm ID as specified in Table 6.
* A fixed-length octet string containing the ML-DSA secret key in
seed format, whose length is 32 octets (compare Table 7). The
seed format is defined in accordance with [FIPS-204],
Section 3.6.3. Namely, the secret key is given by the value xi
generated in step 1 of ML-DSA.KeyGen [FIPS-204]. Upon parsing the
secret key format, or before using the secret key, for the
expansion of the key, the function ML-DSA.KeyGen_internal
[FIPS-204] has to be invoked with the parsed value of xi as input.
6. SLH-DSA
Throughout this specification SLH-DSA refers to the default pure and
hedged version of SLH-DSA defined in [FIPS-205].
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6.1. The SLH-DSA Algorithms
The following table lists the group of algorithm code points for the
SLH-DSA signature scheme and the corresponding artifact lengths.
This group of algorithms is henceforth referred to as "SLH-DSA code
points".
+========================+============+============+===========+
| Algorithm ID reference | SLH-DSA | SLH-DSA | SLH-DSA |
| | public key | secret key | signature |
+========================+============+============+===========+
| 32 | 32 | 64 | 7856 |
+------------------------+------------+------------+-----------+
| 33 | 32 | 64 | 17088 |
+------------------------+------------+------------+-----------+
| 34 | 64 | 128 | 29792 |
+------------------------+------------+------------+-----------+
Table 8: SLH-DSA algorithm code points and the corresponding
artifact lengths in octets.
6.1.1. Key generation
SLH-DSA key generation is performed via the algorithm SLH-DSA.KeyGen
as specified in [FIPS-205], and the artifacts are encoded as fixed-
length octet strings as defined in Section 6.1.
6.1.2. Signature Generation
SLH-DSA signature generation is performed via the default hedged
version of the algorithm SLH-DSA.Sign as specified in [FIPS-205].
6.1.3. Signature Verification
SLH-DSA signature verification is performed via the algorithm SLH-
DSA.Verify as specified in [FIPS-205].
6.2. Packet specifications
6.2.1. Signature Packet (Tag 2)
The SLH-DSA algorithms MUST be used only with v6 signatures, as
defined in [RFC9580, Section 5.2.3] (https://www.rfc-editor.org/rfc/
rfc9580#section-5.2.3).
The algorithm-specific part of a signature packet for an SLH-DSA
algorithm code point consists of:
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* A fixed-length octet string of the SLH-DSA signature value, whose
length depends on the algorithm ID in the format specified in
Table 8.
6.2.2. Key Material Packets
The SLH-DSA algorithms code points MUST be used only with v6 keys, as
defined in [RFC9580], or newer versions defined by updates of that
document.
The algorithm-specific part of the public key consists of:
* A fixed-length octet string containing the SLH-DSA public key,
whose length depends on the algorithm ID as specified in Table 8.
The algorithm-specific part of the secret key consists of:
* A fixed-length octet string containing the SLH-DSA secret key,
whose length depends on the algorithm ID as specified in Table 8.
7. Notes on Algorithms
7.1. Symmetric Algorithms for SEIPD Packets
Implementations MUST implement AES-256. An implementation SHOULD use
AES-256 in the case of a v1 SEIPD packet, or AES-256 with any
available AEAD mode in the case of a v2 SEIPD packet, if all
recipient certificates indicate support for it (explicitly or
implicitly).
A certificate that contains a PQ(/T) key SHOULD include AES-256 in
the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket and SHOULD
include the pair AES-256 with OCB in the "Preferred AEAD
Ciphersuites" subpacket.
If AES-256 is not explicitly in the list of the "Preferred Symmetric
Ciphers for v1 SEIPD" subpacket, and if the certificate contains a
PQ(/T) key, it is implicitly at the end of the list. This is
justified since AES-256 is mandatory to implement. If AES-128 is
also implicitly added to the list, it is added after AES-256.
If the pair AES-256 with OCB is not explicitly in the list of the
"Preferred AEAD Ciphersuites" subpacket, and if the certificate
contains a PQ(/T) key, it is implicitly at the end of the list. This
is justified since AES-256 and OCB are mandatory to implement. If
the pair AES-128 with OCB is also implicitly added to the list, it is
added after the pair AES-256 with OCB.
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7.2. Hash Algorithms for Key Binding Signatures
Subkey binding signatures over algorithms described in this document
and primary key binding signatures made by algorithms described in
this document MUST NOT be made with MD5, SHA-1, or RIPEMD-160. A
receiving implementation MUST treat such a signature as invalid.
8. Migration Considerations
The post-quantum KEM algorithms defined in Table 2 and the signature
algorithms defined in Table 1 are a set of new public key algorithms
that extend the algorithm selection of [RFC9580]. During the
transition period, the post-quantum algorithms will not be supported
by all clients. Therefore various migration considerations must be
taken into account, in particular backwards compatibility to existing
implementations that have not yet been updated to support the post-
quantum algorithms.
8.1. Encrypting to Traditional and PQ(/T) Keys
As noted in Section 3.1, the confidentiality of a message is not
post-quantum secure when using multiple PKESKs if at least one does
not use PQ(/T) encryption schemes. An implementation should not
abort the encryption process when encrypting a message to both PQ(/T)
and traditional keys to allow for a smooth transition to post-quantum
cryptography.
8.2. Signing with Traditional and PQ(/T) Keys
An implementation may sign with both a PQ(/T) and a traditional key
using multiple signatures over the same data as described in
Section 3.3. Signing only with PQ(/T) key material is not backwards
compatible.
8.3. Generating PQ(/T) Keys
It is RECOMMENDED to generate fresh secrets when generating PQ(/T)
keys. Note that reusing key material from existing ECC keys in
PQ(/T) keys does not provide backwards compatibility.
9. Security Considerations
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9.1. Security Aspects of Composite Signatures
When multiple signatures are applied to a message, the question of
the protocol's resistance against signature stripping attacks
naturally arises. In a signature stripping attack, an adversary
removes one or more of the signatures such that only a subset of the
signatures remain in the message at the point when it is verified.
This amounts to a downgrade attack that potentially reduces the value
of the signature. It should be noted that the composite signature
schemes specified in this draft are not subject to a signature
stripping vulnerability. This is due to the fact that in any OpenPGP
signature, the hashed meta data includes the signature algorithm ID,
as specified in [RFC9580, Section 5.2.4] (https://www.rfc-
editor.org/rfc/rfc9580#section-5.2.4). As a consequence, a component
signature taken out of the context of a specific composite algorithm
is not a valid signature for any message.
Furthermore, it is also not possible to craft a new signature for a
message that was signed twice with a composite algorithm by
interchanging (i.e., remixing) the component signatures, which would
classify as a weak existential forgery. This is due to the fact that
each v6 signature also includes a random salt at the start of the
hashed meta data, as also specified in the aforementioned reference.
9.2. Key combiner
For the key combination in Section 4.2.1 this specification limits
itself to the use of SHA3-256 in a construction following
[SP800-56C]. A central security notion of a key combiner is IND-
CCA2-security. It is argued in [BCD_24] that the key combiner
specified in Section 4.2.1 is IND-CCA2-secure if ML-KEM is IND-
CCA2-secure or the Strong Diffie-Hellman problem in a nominal group
holds. Note that Curve25519 and Curve448 qualify as such nominal
groups [ABH_21].
Note that the inclusion of the EC public key in the key combiner also
accounts for multi-target attacks against X25519 and X448.
9.2.1. Domain separation and context binding
The domSep information defined in Section 4.2.1 provides the domain
separation for the key combiner construction. This ensures that the
input keying material is used to generate a KEK for a specific
purpose. Appending the length octet ensures that no collisions can
result across different domains, which might be defined in the
future. This is because domSep || len(domSep) is guaranteed to
result in a suffix-free set of octet strings even if further values
should be defined for dompSep. The term "suffix-free" applied to a
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set of words indicates that no word is the suffix of another. Thus
this property ensures unambiguous parsing of a word from the rear of
a string. Unambiguous parseability, in turn, ensures that no
collisions can happen on the space of input strings to the key
combiner.
The algorithm ID, passed as the algID parameter to multiKeyCombine,
binds the derived KEK to the chosen algorithm. The algorithm ID
identifies unequivocally the algorithm, the parameters for its
instantiation, and the length of all artifacts, including the derived
key.
9.3. ML-DSA and SLH-DSA hedged variants
This specification makes use of the default "hedged" variants of ML-
DSA and SLH-DSA, which mix fresh randomness into the respective
signature-generation algorithm's internal hashing step. This has the
advantage of an enhanced side-channel resistance of the signature
operations according to [FIPS-204] and [FIPS-205].
9.4. Symmetric Algorithms for SEIPD Packets
This specification mandates support for AES-256 for two reasons.
First, AES-KeyWrap with AES-256 is already part of the composite KEM
construction. Second, some of the PQ(/T) algorithms target the
security level of AES-256.
For the same reasons, this specification further recommends the use
of AES-256 if it is supported by all recipient certificates,
regardless of what the implementation would otherwise choose based on
the recipients' preferences. This recommendation should be
understood as a clear and simple rule for the selection of AES-256
for encryption. Implementations may also make more nuanced
decisions.
9.5. Key generation
When generating keys, this specification requires component keys to
be generated independently, and recommends not to reuse existing keys
for any of the components. Note that reusing a key across different
protocols may lead to signature confusion vulnerabilities, that
formally classify as signature forgeries. Generally, reusing a key
for different purposes may lead to subtle vulnerabilities.
10. Additional considerations
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10.1. Performance Considerations for SLH-DSA
This specification introduces both ML-DSA + EdDSA as well as SLH-DSA
as PQ(/T) signature schemes.
Generally, it can be said that ML-DSA + EdDSA provides a performance
in terms of execution time requirements that is close to that of
traditional ECC signature schemes. Regarding the size of signatures
and public keys, though, ML-DSA has far greater requirements than
traditional schemes like EC-based or even RSA signature schemes.
Implementers may want to offer SLH-DSA for applications where the
weaker security assumptions of a hash-based signature scheme are
required – namely only the 2nd preimage resistance of a hash function
– and thus a potentially higher degree of trust in the long-term
security of signatures is achieved. However, SLH-DSA has performance
characteristics in terms of execution time of the signature
generation as well as space requirements for the signature that are
even greater than those of ML-DSA + EdDSA signature schemes.
Pertaining to the execution time, the particularly costly operation
in SLH-DSA is the signature generation. Depending on the parameter
set, it can range from approximately the one hundred fold to more
than the two thousand fold of that of ML-DSA-87. These number are
based on the performance measurements published in the NIST
submissions for SLH-DSA and ML-DSA. In order to achieve fast
signature generation times, the algorithm SLH-DSA-SHAKE-128f ("f"
standing for "fast") should be chosen. This comes at the expense of
a larger signature size. This choice can be relevant in applications
where mass signing occurs or a small latency is required.
In order to minimize the space requirements of an SLH-DSA signature,
an algorithm ID with the name ending in "s" for "small" should be
chosen. This comes at the expense of a longer signature generation
time. In particular, SLH-DSA-SHAKE-128s achieves the smallest
possible signature size, which is about the double size of an ML-
DSA-87 signature. Where a higher security level than 128 bit is
needed, SLH-DSA-SHAKE-256s can be used.
Unlike the signature generation time, the signature verification time
of SLH-DSA is not that much larger than that of other PQC schemes.
Based on the performance measurements published in the NIST
submissions for SLH-DSA and ML-DSA, the verification time of the SLH-
DSA is, for the parameters covered by this specification, larger than
that of ML-DSA-87 by a factor ranging from four (for -128s) over nine
(for -256s) to twelve (for -128f).
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11. IANA Considerations
IANA is requested to add the algorithm IDs defined in Table 9 to the
existing registry OpenPGP Public Key Algorithms. The field
specifications enclosed in brackets for the ML-KEM + ECDH composite
algorithms denote fields that are only conditionally contained in the
data structure.
+==+============+=======+=======+=========+==============+=========+
|ID| Algorithm | Public| Secret|Signature| PKESK Format |Reference|
| | | Key| Key| Format| | |
| | | Format| Format| | | |
+==+============+=======+=======+=========+==============+=========+
|30| ML-DSA- | 32| 32|64 octets| N/A | Section|
| | 65+Ed25519 | octets| octets| Ed25519| | 5.2|
| | |Ed25519|Ed25519|signature| | |
| | | public| secret| (Table| | |
| | | key| key| 6), 3293| | |
| | | (Table| (Table| octets| | |
| | | 6),| 6),|ML-DSA-65| | |
| | | 1952| 4032|signature| | |
| | | octets| octets|(Table 7)| | |
| | | ML-| ML-| | | |
| | | DSA-65| DSA-65| | | |
| | | public| secret| | | |
| | | key| (Table| | | |
| | | (Table| 7)| | | |
| | | 7)| | | | |
+--+------------+-------+-------+---------+--------------+---------+
|31| ML-DSA- | 57| 57| 114| N/A | Section|
| | 87+Ed448 | octets| octets| octets| | 5.2|
| | | Ed448| Ed448| Ed448| | |
| | | public| secret|signature| | |
| | | key| key| (Table| | |
| | | (Table| (Table| 6), 4595| | |
| | | 6),| 6),| octets| | |
| | | 2592| 4896|ML-DSA-87| | |
| | | octets| octets|signature| | |
| | | ML-| ML-|(Table 7)| | |
| | | DSA-87| DSA-87| | | |
| | | public| secret| | | |
| | | key| (Table| | | |
| | | (Table| 7)| | | |
| | | 7)| | | | |
+--+------------+-------+-------+---------+--------------+---------+
|32| SLH-DSA- | 32| 64| 7856| N/A | Section|
| | SHAKE-128s | octets| octets| octets| | 6.1|
| | | public| secret|signature| | |
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| | | key| key|(Table 8)| | |
| | | (Table| (Table| | | |
| | | 8)| 8)| | | |
+--+------------+-------+-------+---------+--------------+---------+
|33| SLH-DSA- | 32| 64| 17088| N/A | Section|
| | SHAKE-128f | octets| octets| octets| | 6.1|
| | | public| secret|signature| | |
| | | key| key|(Table 8)| | |
| | | (Table| (Table| | | |
| | | 8)| 8)| | | |
+--+------------+-------+-------+---------+--------------+---------+
|34| SLH-DSA- | 64| 128| 29792| N/A | Section|
| | SHAKE-256s | octets| octets| octets| | 6.1|
| | | public| secret|signature| | |
| | | key| key|(Table 8)| | |
| | | (Table| (Table| | | |
| | | 8)| 8)| | | |
+--+------------+-------+-------+---------+--------------+---------+
|35| ML-KEM- | 32| 32| N/A| 32 octets | Section|
| | 768+X25519 | octets| octets| | X25519 | 4.2|
| | | X25519| X25519| | ciphertext, | |
| | | public| secret| | 1088 octets | |
| | | key| key| | ML-KEM-768 | |
| | | (Table| (Table| | ciphertext | |
| | | 3),| 3),| | [, 1 octet | |
| | | 1184| 2400| | algorithm ID | |
| | | octets| octets| | in case of | |
| | | ML-| ML-| | v3 PKESK], 1 | |
| | |KEM-768|KEM-768| | octet length | |
| | | public|secret-| | field of | |
| | | key| key| | value n, n | |
| | | (Table| (Table| | octets | |
| | | 4)| 4)| | wrapped | |
| | | | | | session key | |
| | | | | | (Section | |
| | | | | | 4.3.1) | |
+--+------------+-------+-------+---------+--------------+---------+
|36| ML-KEM- | 56| 56| N/A| 56 octets | Section|
| | 1024+X448 | octets| octets| | X448 | 4.2|
| | | X448| X448| | ciphertext, | |
| | | public| secret| | 1568 octets | |
| | | key| key| | ML-KEM-1024 | |
| | | (Table| (Table| | ciphertext | |
| | | 3),| 3),| | [, 1 octet | |
| | | 1568| 3168| | algorithm ID | |
| | | octets| octets| | in case of | |
| | |ML-KEM-|ML-KEM-| | v3 PKESK], 1 | |
| | | 1024| 1024| | octet length | |
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| | | public|secret-| | field of | |
| | | key| key| | value n, n | |
| | | (Table| (Table| | octets | |
| | | 4)| 4)| | wrapped | |
| | | | | | session key | |
| | | | | | (Section | |
| | | | | | 4.3.1) | |
+--+------------+-------+-------+---------+--------------+---------+
Table 9: IANA updates for registry 'OpenPGP Public Key Algorithms'
12. Changelog
12.1. draft-wussler-openpgp-pqc-01
* Shifted the algorithm IDs by 4 to align with the crypto-refresh.
* Renamed v5 packets into v6 to align with the crypto-refresh.
* Defined IND-CCA2 security for KDF and key combination.
* Added explicit key generation procedures.
* Changed the key combination KMAC salt.
* Mandated Parameter ID check in SPHINCS+ signature verification.
* Fixed key share size for Kyber-768.
* Added "Preliminaries" section.
* Fixed IANA considerations.
12.2. draft-wussler-openpgp-pqc-02
* Added the ephemeral and public key in the ECC key derivation
function.
* Removed public key hash from key combiner.
* Allowed v3 PKESKs and v4 keys with PQ algorithms, limiting them to
AES symmetric ciphers. for encryption with SEIPDv1, in line with
the crypto-refresh.
12.3. draft-wussler-openpgp-pqc-03
* Replaced round 3 submission with NIST PQC Draft Standards FIPS
203, 204, 205.
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* Added consideration about security level for hashes.
12.4. draft-wussler-openpgp-pqc-04
* Added Johannes Roth as author
12.5. draft-ietf-openpgp-pqc-00
* Renamed draft
12.6. draft-ietf-openpgp-pqc-01
* Mandated AES-256 as mandatory to implement.
* Added AES-256 / AES-128 with OCB implicitly to v1/v2 SEIPD
preferences of "PQ(/T) certificates".
* Added a recommendation to use AES-256 when possible.
* Swapped the optional v3 PKESK algorithm identifier with length
octet in order to align with X25519 and X448.
* Fixed ML-DSA secret key size.
* Added test vectors.
* Correction and completion of IANA instructions.
12.7. draft-ietf-openpgp-pqc-02
* Removed git rebase artifact.
12.8. draft-ietf-openpgp-pqc-03
* Updated SLH-DSA by removing parametrization and restricting to
three SLH-DSA-SHAKE algorithm code points.
* Removed NIST and Brainpool curve hybrids, dropped ECDSA from the
current specification.
* Updated KDF as proposed at IETF 119.
* Removed whitespaces from composite algorithm names.
* Explicitly disallowed SED (tag 9) and weak hashes when using PQ
algorithms.
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12.9. draft-ietf-openpgp-pqc-04
* Fixed ML-DSA signature size.
* Fixed parameters order in PKESK description.
* Fixed missing inputs into KEM combination description.
* Improved parallel encryption guidance.
* Improved SED deprecation decscription.
* Added ML-DSA test vectors.
12.10. draft-ietf-openpgp-pqc-05
* Reworked KEM combiner for the purpose of NIST-compliance.
* Mandated v6 keys for ML-KEM + ECDH algorithms.
* Defined secret key seed format for ML-KEM and ML-DSA.
* Added key generation security considerations.
* Replaced initial public drafts with FIPS 203, 204, 205.
12.11. draft-ietf-openpgp-pqc-06
* Fixed and improved test vectors.
12.12. draft-ietf-openpgp-pqc-07
* Assigned code points 30 - 34 for ML-DSA + EdDSA and SLH-DSA
algorithms.
* Aligned KEM combiner with LAMPS.
* Dropped CCA-conversion of X25519/X448 and adjusted security
considerations.
* Switched to hedged variant also for SLH-DSA.
12.13. draft-ietf-openpgp-pqc-08
* Assigned code points 35 and 36 for ML-KEM + ECDH algorithms.
* Removed hash binding for ML-DSA + EdDSA and SLH-DSA algorithms.
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* Allowed usage of ML-KEM-768 + X25519 with v4 keys
* Aligned KEM combiner to X-Wing and switched to suffix-free
encoding of the domain separator
12.14. draft-ietf-openpgp-pqc-09
* Removed subkey semantics related guidance
* Updated test vectors
* Added non-normative algorithm explanation
13. Contributors
Stephan Ehlen (BSI)
Carl-Daniel Hailfinger (BSI)
Andreas Huelsing (TU Eindhoven)
Acknowledgments
Thanks to Daniel Huigens and Evangelos Karatsiolis for the early
review and feedback on this document.
References
Normative References
[RFC3394] Schaad, J. and R. Housley, "Advanced Encryption Standard
(AES) Key Wrap Algorithm", RFC 3394, DOI 10.17487/RFC3394,
September 2002, <https://www.rfc-editor.org/rfc/rfc3394>.
[RFC7748] Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves
for Security", RFC 7748, DOI 10.17487/RFC7748, January
2016, <https://www.rfc-editor.org/rfc/rfc7748>.
[RFC8032] Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital
Signature Algorithm (EdDSA)", RFC 8032,
DOI 10.17487/RFC8032, January 2017,
<https://www.rfc-editor.org/rfc/rfc8032>.
[RFC9580] Wouters, P., Ed., Huigens, D., Winter, J., and Y. Niibe,
"OpenPGP", RFC 9580, DOI 10.17487/RFC9580, July 2024,
<https://www.rfc-editor.org/rfc/rfc9580>.
Informative References
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[ABH_21] Alwen, J., Blanchet, B., Hauck, E., Kiltz, E., Lipp, B.,
and D. Riepel, "Analysing the HPKE Standard", 2021,
<https://doi.org/10.1007/978-3-030-77870-5_4>.
[BCD_24] Barbosa, M., Connolly, D., Duarte, J. D., Kaiser, A.,
Schwabe, P., Varner, K., and B. Westerbaan, "X-Wing The
Hybrid KEM You’ve Been Looking For", 2024,
<https://doi.org/10.62056/a3qj89n4e>.
[FIPS-203] National Institute of Standards and Technology, "Module-
Lattice-Based Key-Encapsulation Mechanism Standard",
August 2024, <https://doi.org/10.6028/NIST.FIPS.203>.
[FIPS-204] National Institute of Standards and Technology, "Module-
Lattice-Based Digital Signature Standard", August 2024,
<https://doi.org/10.6028/NIST.FIPS.204>.
[FIPS-205] National Institute of Standards and Technology, "Stateless
Hash-Based Digital Signature Standard", August 2024,
<https://doi.org/10.6028/NIST.FIPS.205>.
[I-D.ietf-pquip-pqt-hybrid-terminology]
D, F., P, M., and B. Hale, "Terminology for Post-Quantum
Traditional Hybrid Schemes", Work in Progress, Internet-
Draft, draft-ietf-pquip-pqt-hybrid-terminology-06, 10
January 2025, <https://datatracker.ietf.org/doc/html/
draft-ietf-pquip-pqt-hybrid-terminology-06>.
[NIST-PQC] Chen, L., Moody, D., and Y. Liu, "Post-Quantum
Cryptography Standardization", December 2016,
<https://csrc.nist.gov/projects/post-quantum-cryptography/
post-quantum-cryptography-standardization>.
[NISTIR-8413]
Alagic, G., Apon, D., Cooper, D., Dang, Q., Dang, T.,
Kelsey, J., Lichtinger, J., Miller, C., Moody, D.,
Peralta, R., Perlner, R., Robinson, A., Smith-Tone, D.,
and Y. Liu, "Status Report on the Third Round of the NIST
Post-Quantum Cryptography Standardization Process", NIST
IR 8413 , September 2022,
<https://doi.org/10.6028/NIST.IR.8413-upd1>.
[SP800-56C]
Barker, E., Chen, L., Roginsky, A., and R. Davis,
"Recommendation for Key-Derivation Methods in Key-
Establishment Schemes", NIST Special Publication 800-56C
Rev. 2 , August 2020,
<https://doi.org/10.6028/NIST.SP.800-56Cr2>.
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Appendix A. Test Vectors
To help implementing this specification a set of non-normative
examples follow here.
A.1. Sample v6 Ed25519 with ML-KEM-768+X25519 Data
A.1.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v6 Ed25519 Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
c789e17d9dbdca7b3c833a3c063feb0353f80ad911fe27868fb0645df803e947.
The subkey has the fingerprint
dafe0eebb2675ecfcdc20a23fe89ca5d12e83f527dfa354b6dcf662131a48b9d.
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-----BEGIN PGP PRIVATE KEY BLOCK-----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-----END PGP PRIVATE KEY BLOCK-----
A.1.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.1.1
consisting of:
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* A v6 Ed25519 Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Public-Subkey packet
* A v6 subkey binding signature
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-----BEGIN PGP PUBLIC KEY BLOCK-----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-----END PGP PUBLIC KEY BLOCK-----
A.1.3. Encrypted and Signed Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.1.2 and signed by the secret key Appendix A.1.1:
* A v6 PKESK
Kousidis, et al. Expires 16 November 2025 [Page 38]
Internet-Draft PQC in OpenPGP May 2025
* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
b0e45408d8c713f3941cd27276f879e557df013e05bcf43e37d4c60266a4b797.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
9d994741e0db5eacee44cb028c2ec48b1346feae2576aaac383bbcd64138c932.
The hex-encoded output of multiKeyCombine is
5bf078bf7977109db6dead92d3578b62d0ab0487ef84e8e0af08f4b4b229e590.
The hex-encoded session key is
94a3b8c9784463bb96b682cddf549adb23579b75bcb646f989d7cfe3e6e14435.
Kousidis, et al. Expires 16 November 2025 [Page 39]
Internet-Draft PQC in OpenPGP May 2025
-----BEGIN PGP MESSAGE-----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-----END PGP MESSAGE-----
A.2. Sample v4 Ed25519 with ML-KEM-768+X25519 Data
A.2.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v4 Ed25519 Private-Key packet
* A User ID packet
* A v4 positive certification self-signature
Kousidis, et al. Expires 16 November 2025 [Page 40]
Internet-Draft PQC in OpenPGP May 2025
* A v4 ML-KEM-768+X25519 Private-Subkey packet
* A v4 subkey binding signature
The primary key has the fingerprint
342e5db2de345215cb2c944f7102ffed3b9cf12d.
The subkey has the fingerprint
e51dbfea51936988b5428fffa4f95f985ed61a51.
Kousidis, et al. Expires 16 November 2025 [Page 41]
Internet-Draft PQC in OpenPGP May 2025
-----BEGIN PGP PRIVATE KEY BLOCK-----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-----END PGP PRIVATE KEY BLOCK-----
A.2.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.2.1
consisting of:
* A v4 Ed25519 Public-Key packet
Kousidis, et al. Expires 16 November 2025 [Page 42]
Internet-Draft PQC in OpenPGP May 2025
* A User ID packet
* A v4 positive certification self-signature
* A v4 ML-KEM-768+X25519 Public-Subkey packet
* A v4 subkey binding signature
-----BEGIN PGP PUBLIC KEY BLOCK-----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-----END PGP PUBLIC KEY BLOCK-----
Kousidis, et al. Expires 16 November 2025 [Page 43]
Internet-Draft PQC in OpenPGP May 2025
A.2.3. Encrypted and Signed SEIPD v1 Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.2.2 and signed by the secret key Appendix A.2.1:
* A v3 PKESK
* A v1 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
16f2aea8ec1ca277c04cc7b87681d7d38511a38f554775a8fc4de41aa76eb586.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
2fc0c8fcace9636c86d1ee1715a302819ad48c549579a462a33eed36627c532e.
The hex-encoded output of multiKeyCombine is
c1591d7511f9f0213bfd57cf316e5ec0d40c4ea826fa989ab606aa3b8a1a2c1f.
The hex-encoded session key is
b4dc7197e1519822ca689da484643edf272934d98ae1974b5d88317a7a6a3c4f.
Kousidis, et al. Expires 16 November 2025 [Page 44]
Internet-Draft PQC in OpenPGP May 2025
-----BEGIN PGP MESSAGE-----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-----END PGP MESSAGE-----
A.2.4. Encrypted and Signed SEIPD v2 Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.2.2 and signed by the secret key Appendix A.2.1:
* A v6 PKESK
* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
16a22adbeced91ada60b5561611748edd2fedc51e0770f86d7394870062e7322.
Kousidis, et al. Expires 16 November 2025 [Page 45]
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The hex-encoded ecdhKeyShare input to multiKeyCombine is
5ac67eab192f25ac99d87543e6fcd3a4769cb02c9d1afdc79354c2baa2289e29.
The hex-encoded output of multiKeyCombine is
5c5652a690b55d1e9545fbd722f838cd8ff4d3657af5a9026d02f3185ca74993.
The hex-encoded session key is
160867d96032b640208c1c92174d0270bb89189d72320711acd221bbea2a26b6.
-----BEGIN PGP MESSAGE-----
wcPhBhUE5R2/6lGTaYi1Qo//pPlfmF7WGlEjlejDztYnd2xigU3Okc86MsGI+wTe
RO1LNVy4L03KG04LC5S7Ahh1ADVuNqplgbBCjHeiWsMeBIXfwUYH35+X0TB6P++e
pA/flGSeFj2F/ubBL3Xo5r7OGeOD55hijwNjwKj9tEhTkIOa0LFaNwJblCsTTW/Y
3rRQB1SzvyPk9Qf/iyN5t17/89j/piKJXulgLXnLUONBYeqA+gSV/0FhsYHambvL
ucx5AE6GUJzsFxdjCwVR7/7zdCU6jsfvPSeZry+7CSuTAFYqrh3x8+62Kio0vcoH
irJrIRQsQOo6ygvmLJS5vQUF7lwNimpXzTjWjqQBuAdwSuYPFVDPd4xIOgmT/oJt
MCA8UOKxdoANh+XnjqZAsL5EjTPf3UmGLhbNj46XssvtUSuW4qvgFVoR0FNOEBrt
9Tyt7fDzdZkD+RkyLK13igSLXVzB4Ofn9E6dddurICZkfNtQofV/t+qJUmc0qQKs
cFrwFO3xt4UrgLFH8SnWJ9Rt6tLaahUD2pY/YNkSSC1+HFPbFSsXTcnfOt5vfEQg
UVmP5TRVX36qE5EqRt4zZwBzv+Ph0lMWQueKXscHGz6+cFR76nktsiOFTlwYtudf
fCrvf+hxuGn0mKk3qlTkmF5vOt+NNiqXt+nzJ7bqdkH3kAQ2qG9UHi0Ey1X7ykI4
MKqjNXp3ovwx20hUYrPMRo/XXz7s8ZiqX5q544kpjwxU0n9mvWYEjr3hePtAK4YD
6WRtqukyuxSPvonhdyq+x/awcg2AQe5tPH+eMTt/cm1yBdzgvbNxUcy5+87TQJhJ
Ia425biPs4kZku1NP2pN/kVeT8Me56zhdaJF2OwcUGOSjbkgo/F4WyE5bYK7gM5G
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jshrrUHJpZri/4Lv8cX1/A5OMULSyKNX3PVk6aZPtzXDOm1MCC0M1vIboFvD1qEx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-----END PGP MESSAGE-----
A.3. Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data
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A.3.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v6 ML-DSA-65+Ed25519 Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
a3e2e14b6a493ff930fb27321f125e9a6880338be9fb7da3ae065ea65793242f.
The subkey has the fingerprint
7dae8fbce23022607167af72a002e774e0ca379a2d7ae072384e1e8fde3265e4.
-----BEGIN PGP PRIVATE KEY BLOCK-----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mEjYdwmp8zwS5a4ZyJa5qLVi1tFwPAUj2ojE6orS9CqzAaUktLNI3duhThTwlDNv
bCZDnfXObEOnyhiqyqspVKFKtoL4Q5ulFNUOzSYWt4ReDZEdsGkZ5UvOCOItIEwh
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Kousidis, et al. Expires 16 November 2025 [Page 49]
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Kousidis, et al. Expires 16 November 2025 [Page 50]
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Kousidis, et al. Expires 16 November 2025 [Page 51]
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Kousidis, et al. Expires 16 November 2025 [Page 52]
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-----END PGP PRIVATE KEY BLOCK-----
A.3.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.3.1
consisting of:
* A v6 ML-DSA-65+Ed25519 Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Public-Subkey packet
* A v6 subkey binding signature
Kousidis, et al. Expires 16 November 2025 [Page 53]
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-----BEGIN PGP PUBLIC KEY BLOCK-----
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Kousidis, et al. Expires 16 November 2025 [Page 54]
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Kousidis, et al. Expires 16 November 2025 [Page 55]
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Kousidis, et al. Expires 16 November 2025 [Page 56]
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Kousidis, et al. Expires 16 November 2025 [Page 57]
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Kousidis, et al. Expires 16 November 2025 [Page 58]
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IA/IJPpiinqxDtHmj+eNDGxcHxYEgOyitJHz37WQBU4juiueRcCNnEH2BW7dqd91
mPfFf/sGVrWgPwSQlhYl0tuOlFNlo3dLHnJG/d7/MxD617aiS9pcwWF9hSDHNvdm
9ZyW2WcdNP+ccGv+xpul3FIZ2s1T1MSGcdQ+LmHcX/BBfkY8eqKU7o2FURiNXgtq
Rfc1b8naACMxOTpba5e60dwhfJvgLURSmLrpGSAkV2JopLrNFBhMf52jpgAAAAAA
AAAAAAAAAAAABA8TGSIp
-----END PGP PUBLIC KEY BLOCK-----
Kousidis, et al. Expires 16 November 2025 [Page 59]
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A.3.3. Encrypted and Signed Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.3.2 and signed by the secret key Appendix A.3.1:
* A v6 PKESK
* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
0987fe72ad5ea58e73344f9a2a543f4131d9fdb7cf07474f501430a20f705b4d.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
88f3e9a8de1917127b4b758f6e83bd4ce00faaae01bd8b6e412a43a710b26012.
The hex-encoded output of multiKeyCombine is
a4904982f7caa9c9de690afd772d8bfe027a1ad6a5bbda00db68963fe303ae8e.
The hex-encoded session key is
adee68618b302d4bfd7ae3d432bc63a1c1ad7f5fd6e7fd7bdedbb0d0b14a5c9a.
-----BEGIN PGP MESSAGE-----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hUbdBX1sfMHZSN7RiGGLtrouOxtp1YXHzw/JbsLyQcXXBXlC+6TyYYo5mroaDzl0
qaPJY158CyymyE/Bqz4hEGTyWpAmfVl8v+fRjBwnuvQdsMIsukljXx16SaMQ0h3N
dnFJa4JUlKV1cCljtwOQ5By7yHmpyTtXlGOKg4cO/GtDICV73fjxWeHYERZi61DL
KfSzvzfS9igP1F+AARSku3g8R1Jhz6ATnKTvB23B7+gfCSHS5OCUNZxSQpsSmR9K
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0usCCQIM22GDOpQxFnnhYpvW53zWdK7SIcFsRXUu0bGgJCJfdsJ23przdrmAWXaB
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kKdphSR+aUXprfbmvtK9yoSqdiyY1sTTmsrCMfAkDrQsG/OrIi7J9y6dIwhfOLqq
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ak/MpQwGKTcC2WrrqWhgq/WTs+8NCk5Vfa2P
-----END PGP MESSAGE-----
A.3.4. Detached signature
Here is a detached signature for the message "Testing\n" made by the
secret key Appendix A.3.1:
* A v6 signature packet
-----BEGIN PGP SIGNATURE-----
wsy1BgEeCAAAACkFgmgR5rQioQaj4uFLakk/+TD7JzIfEl6aaIAzi+n7faOuBl6m
V5MkLwAAAACrSBBfUT7vIas9dx8QHh41xBl3AgTJ/ZWeIonCLmgBizODMi0CrzXf
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4zlxX/3dkC8R2+lKsEmQLXH/vensi42f0vPKdtjl++rOfx05KNnJIlJ/nXB2Gmgl
d6SAikRJc8sI0g3UtFaHM8Ix3SVObL92Nh6V6606rAJuDtZmKxzVbQylnFSURi0d
j5d1trF4VVirpKDIC8rCoH2ECqzZy9wULv7UKGMpWjlfuWH6NnpCG3JuW36Ha2Fz
UmfhWWxOjws1/i0j2R/c9LrFZYv05y+jbsoxxfLBTiL/XS9ng3CPQSV2QsYMFYFM
SW3Kvbtpe6uJuigwXJOu9iywj1+PQC9mj7tK1EqXyfoqx0koqeORJM4rSsX4CZHA
thEeU57C6qZf6oRlb6TMYfqyDkpjdK2IHwwXy+ydtO7YvYMoxNiWZTX8PBwvyoA/
Zc0bBePIfwTMup+8cgF2WXEiMMAUo1mW5VtdTA4izterzgtPSsSITbyIrrGo9tJa
Z9LOeAEH3Y6yaPw/HyKYO49Slpg2pNrWlOGUIld295bZ9QvWa0oX8aSWmLhzu+Lq
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1eBokL3YRTqRBHMddgbB8d54Is29dfhAGDbH4DeFHPSAVSGvvB36EhgPqO92d+rA
Kousidis, et al. Expires 16 November 2025 [Page 63]
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9AVwpIRdw/3zeHgVpiPuP2W5Vqr9e3bApkT13EPs0W/haCQwwQaldRPqz0n6UyEz
TzHJgDvA3dz7ukJOKpfrxHF5Z/PGQwZ1CLj0/DwGqxHv+6G/HnBFFACWVMe8EQlC
S5MJeQAw+LFej4aclMfHGxio1zsDoo8bEPEcKBL0pIZVpp+2lQjTlUQeMuOJGa5H
bG3FQQtRNNfXNPEqPL+Uaf20kEJHDzas04q8bVpMsW/RRwFxolj4DWckwVUOvrEi
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aN1VD3Bf9XbzetuNLhmPFAp+qsFi3dlaZgrhlD681QL6GpHf58zqZ+4UJr9CIyB2
3e4pfy9u5WrcI507cUNW5mDkSsG/wy93AJOgAY9H0BGNFEN5wyN8DgDhe+Vlt7pd
pH8oB39pqA9Mf2RuF9XN8FcOVIJ+BwD/fi43uNrX42pI6m5bwkTMgaOYzIsK1KML
iBq9lKneeEqIezGgo1nAk3HA7elwhyNCZwPe6upamXDlxhkc2ypql6Fi1K1GdTmR
IWmJCz7gHUsq/EClgui4pYtVM+QX6FJTqyGxiShie100/3iDgfQoP8qsVMSPai1U
cs7Bw+DYkX2VlTLS4H9WjKfaHKmAFVmgPByI4i8ARoQmhItA688kp1ctrU397/aW
w3Dyoa8LnPG0kVrh0kjy9pjS9IegJt8GayrHr0i+ep/27+DY18ag5FMIeXmh0URN
WaZbGtQKJLhp6JGintpG8y1/nFhHwIbgUSohFStSdXmKptxnbp/NdsfNAgoPEyBh
xcwAASBQgIkTHCxJU1dtnrzwAAAAAAAAAAAAAAAAAAAAAAgMDxcdJw==
-----END PGP SIGNATURE-----
A.4. Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data
A.4.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v6 ML-DSA-87+Ed448 Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-1024+X448 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
0d7a8be1410cd68eed4845ab487b4b4cfaecd8ebad1a1166a84230499200ee20.
The subkey has the fingerprint
65090e147a8116ab7f62ab4ec7aae59d9e6532feb2af230c73cdc869fbc60c8f.
-----BEGIN PGP PRIVATE KEY BLOCK-----
xcn9Bmd0hYAfAAAKWWpo8Cf22TCokS8czVy5ks51QTmpeHf6T/HHDrJHaD83v3y0
UzGLCL39W7LcHzN7Wahvkgx4N/9GgNxT8Amc7VaqNhnHy8FV41mw/5+uZ5M0SXiU
U+a6JiaOfFwiU04XxV7MkcS8T69o973ysaTouD+i/aEw+q5n2Gpf+1S2INzzpgQk
ehCclPg6VDFQ4DRQip8f4ZPHGwB4OU7CZTK55JLcQd9X2rgu1x6HqdAKn69xcX2t
p8HNIwVTSWlyr9KqMx6/gpAaoXv/ttQxGeqaf7b2mucscbKHTTr5BPzbD/Rdagbm
Kousidis, et al. Expires 16 November 2025 [Page 64]
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Kousidis, et al. Expires 16 November 2025 [Page 65]
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AAAAAAAAAAAAAAAAAAAAAAAAAAUMFRwiKDA1
-----END PGP PRIVATE KEY BLOCK-----
A.4.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.4.1
consisting of:
* A v6 ML-DSA-87+Ed448 Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-1024+X448 Public-Subkey packet
* A v6 subkey binding signature
-----BEGIN PGP PUBLIC KEY BLOCK-----
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Kousidis, et al. Expires 16 November 2025 [Page 73]
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Kousidis, et al. Expires 16 November 2025 [Page 74]
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Kousidis, et al. Expires 16 November 2025 [Page 75]
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Kousidis, et al. Expires 16 November 2025 [Page 76]
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Kousidis, et al. Expires 16 November 2025 [Page 77]
Internet-Draft PQC in OpenPGP May 2025
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R8Wj7qQgjBEbE7nnzqov3orJk5RUAo2tbhwYZBNKXJQgPqlj7mMa1DbD7Qzm+p6V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-----END PGP PUBLIC KEY BLOCK-----
A.4.3. Encrypted and Signed Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.4.2 and signed by the secret key Appendix A.4.1:
* A v6 PKESK
Kousidis, et al. Expires 16 November 2025 [Page 81]
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* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
f18f161e617b8ce5968f109aadea1e7e1511d10165768d36127ba913c00637d2.
The hex-encoded ecdhKeyShare input to multiKeyCombine is 732860c8114a
e84a964664b1f607785d11bc7d24d5324510adad89bd52db7ee0df9982ad0d1669bdd
05556330c86f2dae9e2edea42e05bc5.
The hex-encoded output of multiKeyCombine is
ef1e32906f67d39bc800d90cabb0033c77ca6dce8ffca3e96d9c7348e2e8c16e.
The hex-encoded session key is
0588ce40b038aac353d1cf8c67a674b412985105794821013ef154f786c4d89d.
-----BEGIN PGP MESSAGE-----
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uAk2ky4ULBquYvDAfKlP/ctTuvXKxFGOLfjs2SWHM7oE6uT5ZRjFcTuFGCh4Keto
8NY8lm3CNRlbowG/Zb7BRtGVMp1QyH+oNWWhQnX4qa4UWxLt1fVhBd4ydsf952sd
2+UvVpojaPMtH60a/oArv8EF7qSGtJ9SCeO4we+pgVyCnVG/HgdidKjkpuWl5kFe
revN2ps8CB6HdPS3pu3cbIUYFB1kq/bGzN8jRGW4el09C3J8u16sJAdEKiI3CyGD
LovztLij3S1Fa8xhCzAwSQY5ap+3MveW3ZZfRkQUmHasLfsbUqR6o+KyYzBdMrq7
r9dO/yldgvycbQA=
-----END PGP MESSAGE-----
A.4.4. Detached signature
Here is a detached signature for the message "Testing\n" made by the
secret key Appendix A.4.1:
* A v6 signature packet
-----BEGIN PGP SIGNATURE-----
wtIdBgEfDgAAACkFgmgR5rQioQYNeovhQQzWju1IRatIe0tM+uzY660aEWaoQjBJ
kgDuIAAAAADCOSDu4urY00OJ6HbRJFwnZa1NdpSNQfQOqTfO6HjXPykO3VR/CDj0
s1+mEY/lPndKVXet/BQLMiMS3F+doZtfMIt1bYR6Xb1DreGWYPyENtpNh23J5zyQ
vLl3gAPfnSIn8IDmfPuRDo0pjLlbm5hmNsw8HLilzKjrh7Hw6Owcrpqn7gSb+nBT
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PKBS2x6anq4KH/577jkVgKjSicHi1VCNxXwn6ebeLhrHy4BvFx7AGL9NJ6taFxI3
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4tmtPxVFrfaDH0p7f6US/X5v5IgobIyyZxljfUZMDWaOqZGshTz5IVs+rzAfxbqv
3baN5uN6ZlCRcME4frDj2IVCcecNplvSJfgRAeACw1ntoQu8PlMP+Jrnm3oPL7Cw
ej+XZ0V1Z/b4dp39oYdXRZULHL+UBQ+gYWuYqhDQrfy7J5mAT0nj0+BvODFBJCRb
qcQzI8NTF0q7Yurp4b8rz9vP6Wx3qAXBuOQoysx0iItPR4tc+gJqyRjHXXjrsMFX
VOqbPo13o97eiL+656YMtYmrpronT0iclcxKN5dqP9SRBtakILsmz44RvPIz0JO8
fsyd+TYu2yMCox53oeEpoIQmnoruMmkh+687cX7OeA2OnMDPMKWRaNZDLeXCBbiB
q7aHcJuSZjKVPle4X60hrOtyNWkIyFCOP8z0qhCnDFdZTLA2cZIaPZLBVypW966o
S5fLeK7/woMl7xZx/17BriqlbuMnQh5ULuNvG3dXkV3/h0/3szIu6tKmPHJN5byZ
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l5NahFoP6WN7mpcmBzwi0QOLaWUk8xVZPO9YMcq3RmACt/hsVO8KfOx/zdA66KCL
/bdJin7iuPTXxVtnGSfAE7ECWRptoP2MXlz3Ra6Nv4lSou9Eh1EDV5WvWzgi2Ioq
Kousidis, et al. Expires 16 November 2025 [Page 85]
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AZn6D7ZKl8DYxU02FoztGc/EWmGxKpD5NZQdaVmv8d8BGND8+B5l1/VsTbC5qSHg
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b27WsqlEyVbWXy9cbLKkr0gfAZHoB7rZyftgWGPfR1DOiUatORyyBlmW0Pr6dc2B
pb2CGlCIon54w/EV6DdkyCBhMdheAx3NkZchdFHdbxl8wg5MenWQu7jhu3PHJRWA
rtqAwK05lRm/QZlX29lB6kqVF2acU+G2btPAA1hcztLSNU8evebyv+jLxY0gHdVj
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Qug8PV3T38QjNVVCjc/ywVXiyrswpMvebVYnAAFQkus+Yju1ODgaUQ36PDU9Y4AK
DAQ3KWvhcQBdpiOsuDvqSa8LV1gCMdpiwf73iW+1h5efqE4gejYUsBZ6SHPOhk6J
lQeiDxMBmuzC1xDtWczWQi0DmszsSabONCNK0SdRrOalvyrJui3w2YWlJRJ9OTkj
04SSgbkcONZ2cHsZH/vxhSczyJs+o9V7SqC+uFeiLoKmGBfB2Qu7vYQcPgfLHudM
nnf26wW3GJ0VWM7y/WtrV7d+YIrVirm/0mQMpMCosXn6yzAbmUx6xRxcvKib0iUd
Qk8mk5BYua9IaX8/GEviZsjZQrIzDOQlM+2EfiNDLw+6lT651Whrbs4yL0gH5BE/
VemuaGhoT+P5HTHAu1igGsC1dF63l95DQfsZCnCPiqGYXFHL4RZ9ebOIAS2O6u9+
/jtBuheKYz6O2A/x5Na5A3j9MTldSordnvbzsAByeWlgDEgGcD/elilOFq19yw8Q
9n3ykB8+K9iGct78FiE9mmWqz832lGF69xE+geo5ztsnpi4t3qw1SsLUCNeSMuR7
MH1KBbTFjWJ3tGZjF/XYDJZAUq3iwXCsW52UxSaInLC0kqI6f92vuGzMAsqEXl+h
cKRmwJEIHewDvPTaRjlZTfb3vzDym6h/8tpLb7gs3EkOOmM0RgA3mGpD9SVYA7Ev
j5JA+YdVRAP6KCTexx52YVOpoiMN2pMo5FAMogIq5soouEl57VYRvwwnhv17Bcup
BPKHDH5xMKvsHUu2EMrPs0R9cyLxacRJB2DqA+p8Tr0C12f1zSlfzsdkD+erhzN1
BHfvh4LufrQJmbM//lEpvsHoBJqiBTRfhDwTWPfewtdtZp8Tl3ERwxu2ydOHdH5A
gB2GxFdihiupCFTZKlTJqolfi/bX1gk1IMgQ6jIDxGVLQRxeCL4qpWq/uewRWA1r
rGboB8YRk+H3lWJKRfdjgct4cQfshxjyRPZrlxliECbyIq3xV2dFt2dOqAo/pZGC
e5DDsp3cq4gkGCtZziVzC7wTXPPA3A+cYny3UpCaV6yQTOdugm37Kmbjico1I3b2
QRFpAUPWMAhnrONFeRqF8WS4ztxURigufGIEc7BA21vFdgIh8B0FKUdDmDYxgEmb
RkRtj2tQ9a8A2daeheG1DErfcrgWZ6ggakBzAFGfGKEOee9J+CikHIJg+JnLVx+0
ZS2out2EqT9jf5arrwNZsuWip2Z0pxAAqQVAr5Q7P0xwwOB2ERCkdRDwCS9DPjMV
Kousidis, et al. Expires 16 November 2025 [Page 86]
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sXXysyt+ytRPAYCVx056RTZhwEtw29MZPqL/XwoQs/TEBxcKh+8KTLwSNQ2uyMRm
Dztkl76kL0rWthriz9o10CMitL3LgkNJmDVkuXt59cymAOmeZhOJNmAtxvp6XSXH
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HsJCFkUGdKYTtpeVWkg+/AWhtCH9Sci0CRcJ3it7raelL42e75i4ySX8jkzaveC+
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HeQafJfP09eYjcYj+L1/nDMV7G1dm36WY7ZGy/sgfaTLHslgF5R13dbz1PSIYl+y
qRWcdksHHcKwkOw4IWIkzYbAy3fvW4cj92Z0gCzc7vquK2R1By/TbUqrNbJub7w2
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smEimgomUtoAzdo/P+sco3PlrB154nXnW42jUe/ZlEdNh27kpPOmQ6hL/Xl9HDZT
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pYTMeFneHRTT39we3xVJT1WihdfRwufsj1uFzvBzsUOS96/W2GH2n0SATTn5J7lg
8Q67MXX+Y8kqkTov37bkEzAttu73gcUvY6OSQAuY6v8yZy0ayTOXFwXLqFRkK1R2
zd0hLF6Hts3q8waRl5quv8/U6+0NDxMnOjxETBdGXXaAgYehBDJsk5SpxeZrer7s
Bw4/Xqbj8PgAAAAAAAAAAAAAAAAAAAAABQ0XHycvMzs=
-----END PGP SIGNATURE-----
A.5. Sample SLH-DSA-SHAKE-128s with ML-KEM-768+X25519 Data
A.5.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v6 SLH-DSA-128s Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Private-Subkey packet
Kousidis, et al. Expires 16 November 2025 [Page 87]
Internet-Draft PQC in OpenPGP May 2025
* A v6 subkey binding signature
The primary key has the fingerprint
eed4d13fc36c78e48276a93233339c4dd230fd5f6f5c5b82c63d5c0b5e361d92.
The subkey has the fingerprint
3e8745a4bb488779e0f32480fa23f8d0bfd8c2f49d7f74e957e1c2ffc2ef4bfc.
-----BEGIN PGP PRIVATE KEY BLOCK-----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eihQczm1K6/DMk+2Dw3afVue0G8PZQyzM70JFNx6dc3+IzaBrFtrqOjuJ14u96EN
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06lyTOrSZ/dhg5QH4uNDUF6+apO9Cbizwn4+dFzgCVYOT2vgwPc4s8wtjRKkTuSs
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P/pgjk0K7opyBASU7gbqcYx47sg8+a0vQJnaMZ4i9ClUzg6EkQ0eR8Xynwr941kp
BSeCBq47872VJTqah8IZtPHZuJxwWnd3ez2/r5zF4yY0pAy6SRb8ytvYX8krC9+L
Q/Y73CP6/uD1JhnJp3XQMsTeHRlCW2iiGzehkEoc7LaNFNmAx2OxkYVMJdeuKp+E
6Yg9OYb8gfFOalsyhWdxPLyhJTThXMbbMAa033gsvOZenAaOwGIdRdmRUk2MJacI
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qpZkLy4xLTNiBZUlZxgmcDJbrEBxq7EHhxURjiKvGp2gAPaHUX70BJQ7dshXY9Bw
XJCY2eO2RnLxk/2bubv5jBqMStbGM1m/xkwhMC0tuNC7yHywegg6v+JSsL5qFEvz
nTqsD1DSvZu2NmTx1IZnP++P0jDgXqYJ3Lw6PYOZmWS37pw0CkzaGfr9YolhfkZS
uNI/ABN0YTmEEl4euG8bmnDhiccc4TEWzbGEKLVVZ3N7FPSDPZPCjhhkLDh8v4Aq
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HbpqGzGuQUMyDJPBS07UB7b/a10yldayw8YDR0wV3hQnvfxnUqTdEHJCkrgnZtE7
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nd88ICmev2E1ArvT1OtK+aMJBv1mTgZnFDTcE27N/xL7ap6SckAmTg+oQt8xdbbE
IlMa0xgWIob8BpnJ9QP03+hQS7Jk2QH8Z6Kf/wEsrRn/BDLEUdKXfD12z9VEFc2W
tO5459U1gs9s1DfEa/aELsRO98cI/vfKpW3vx4eaNLu1W2e4kawNY6ZqC6QxVeiA
pSykQMGK8sYXxlSvJitWFJR9uhjsOgZKn10VeTnvXVpYNy8qVjVEYnXWMit5MijS
W6LcmJb2JJ4yN0xPsi3XNKXzcrxqeIstMQVn3eCl4RSiiGtruRu7gLSIqQzCbkIU
bK3IYZ/pviCYvEAkAjrIqkwQQESWmDHlUH0f2YvC2RbFhkqeR0rRIiDpwhKRi2ez
p8tPnmSN1NK/gJ0BeGR4dJfywVrKFkAyTAXTpeHfn02wQ2DS2qMuevRTEuF9JSyh
Kousidis, et al. Expires 16 November 2025 [Page 88]
Internet-Draft PQC in OpenPGP May 2025
INKE+5lp2opnWmtN3tOWvzgBgM76I3ITiTmjQKu2Z4v/xrJdAY82kglXrkaw6VMb
+dVVe2UN+9+g5Iq2oSbhmEnox6G1wNqCyFG0UxRDWr+qi1nnZBPVLGP7UTFye9du
obnk478fbwdwW5QaspwgdoR9jyqEC847/kUL+yMkgRazwiHDbUUACLi2a2952mAw
I9TYOna7/d9eD9boXtHj/mWB/zuH0aMnL3YCb3B1dsEf+0ObXbG5Gk0nvusxFagN
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Kousidis, et al. Expires 16 November 2025 [Page 93]
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OSngGNmRTigQ
-----END PGP PRIVATE KEY BLOCK-----
A.5.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.5.1
consisting of:
* A v6 SLH-DSA-128s Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Public-Subkey packet
* A v6 subkey binding signature
-----BEGIN PGP PUBLIC KEY BLOCK-----
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098smUaxQhUvNgZr9GwIcyylAYl6r6uehj/q+441y8cetEsaCOnBCjP/73ZBcG82
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BmkChlPgGgFHL60FbRlsP65m8GgsoeZ5JTd8MrroUVgiawH4uXkc1UsNZi4u8kbe
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U2qr25RB70+QtdXGxZuwFQu7d/cdL1NDc710HId3gob8c76LLrh3B236Rmq5Apsy
Oej05B3TPIJT+gLsTzvK4tXV6AcYVekbAZCOISNBfVCtGfcVDFqosTVftGuOZcz9
rluC1ZlWi6EEdlkjeC91x5CaoiNRhfzaW1TebGjchBkumLnFJ954tMP/5ysfsFOL
o0Hrwk+tHHB7dQuBn8FSkIkUurJVT/vVtYcJfl/SZnx56aNeL9OV+KePSRS93o1D
OqNezwg+Kx8swBvpPxAQMCzVq9CVfHzdUDt0C/imQekRIreSX6zUbgsbeQeSO3j0
cOrVcviHJIqF4pArtSHV0pUIMcusFC5I1Z0ARKsrOSngGNmRTigQ
-----END PGP PUBLIC KEY BLOCK-----
A.5.3. Encrypted and Signed Message
Here is a signed message "Testing\n" encrypted to the certificate
Appendix A.5.2 and signed by the secret key Appendix A.5.1:
* A v6 PKESK
* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
5dc60150f5f965ddc8014b6aa2ecae1831467e98fa315422f238984d6421a22e.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
9dbd0f9bde7fef09817146e53a0b5ce7d27e79612670968fa0025422c578ab55.
The hex-encoded output of multiKeyCombine is
ae8ab57801911c04c7b4c2a2f665cf8d8a8188f948c2a65e39c292d9b1d86e32.
Kousidis, et al. Expires 16 November 2025 [Page 110]
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The hex-encoded session key is
e87567cad8fee5738f92090feed009d8af95437fa664f94da98776d966bbbc52.
-----BEGIN PGP MESSAGE-----
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Kousidis, et al. Expires 16 November 2025 [Page 113]
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L5A1vslvF/Zznb0nFNEry219rHvXLcXCIMFs35Y519CeAIDsLHfYhKKu8NANOHQx
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-----END PGP MESSAGE-----
A.5.4. Detached signature
Here is a detached signature for the message "Testing\n" made by the
secret key Appendix A.5.1:
* A v6 signature packet
-----BEGIN PGP SIGNATURE-----
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Kousidis, et al. Expires 16 November 2025 [Page 115]
Internet-Draft PQC in OpenPGP May 2025
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qys5KeAY2ZFOKBA=
-----END PGP SIGNATURE-----
A.6. Sample SLH-DSA-SHAKE-128f with ML-KEM-768+X25519 Data
A.6.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
Kousidis, et al. Expires 16 November 2025 [Page 118]
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* A v6 SLH-DSA-128f Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
d54e0307021169f7b88beb2b76e3aad0e114be1a8f982d74dba9ca51d03537f4.
The subkey has the fingerprint
d8875664256c382dd7f3a5ce05021088922811f5d0b1a1f8c7769944a51b7002.
-----BEGIN PGP PRIVATE KEY BLOCK-----
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VHtO3Km9t8OKLBJqw+fmlx6rjpe6wEz+sKeJfjKDQmwin3urObP1VzADwbcF3Yrl
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Kousidis, et al. Expires 16 November 2025 [Page 137]
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Kousidis, et al. Expires 16 November 2025 [Page 138]
Internet-Draft PQC in OpenPGP May 2025
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Kousidis, et al. Expires 16 November 2025 [Page 139]
Internet-Draft PQC in OpenPGP May 2025
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-----END PGP PRIVATE KEY BLOCK-----
A.6.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.6.1
consisting of:
* A v6 SLH-DSA-128f Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-768+X25519 Public-Subkey packet
* A v6 subkey binding signature
-----BEGIN PGP PUBLIC KEY BLOCK-----
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Kousidis, et al. Expires 16 November 2025 [Page 161]
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Kousidis, et al. Expires 16 November 2025 [Page 162]
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Kousidis, et al. Expires 16 November 2025 [Page 164]
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-----END PGP PUBLIC KEY BLOCK-----
A.6.3. Detached signature
Here is a detached signature for the message "Testing\n" made by the
secret key Appendix A.6.1:
* A v6 signature packet
Kousidis, et al. Expires 16 November 2025 [Page 165]
Internet-Draft PQC in OpenPGP May 2025
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Kousidis, et al. Expires 16 November 2025 [Page 166]
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Kousidis, et al. Expires 16 November 2025 [Page 167]
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Kousidis, et al. Expires 16 November 2025 [Page 168]
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Kousidis, et al. Expires 16 November 2025 [Page 169]
Internet-Draft PQC in OpenPGP May 2025
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Kousidis, et al. Expires 16 November 2025 [Page 170]
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m32rygWKW6G1dCtgLhThotRN0OQ4TUVBtkBPD1G3uE8EPNNNXXtGX/wl4pfLXGdD
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o1/5GVJSePW0mJCywV9r9VPvkx/ZRYMgXwh+UX/kBfOX3uoJpVRhqjulXWrzWX+W
++n24qrWP0j0fuF2cx71BAJTnbafYNNgjP6Kp7Ec6N4qQwXGPKXiHzKihAmSnm/7
jFo6hAWlvunqUondaF3S3X5LRkouGGImUQjNa7+6HTRm+E55gA8bDmZKcZgo6lpk
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hgMI/DPj9GwtRRmTTCSGd0JqdMISbvsek1ddQQ5Y
-----END PGP SIGNATURE-----
A.7. Sample SLH-DSA-SHAKE-256s with ML-KEM-1024+X448 Data
A.7.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* A v6 SLH-DSA-256s Private-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-1024+X448 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
72fff84863aeba67f0d1d7691173247dd427533b9d7ee76011c6f77f2ce9fa7a.
Kousidis, et al. Expires 16 November 2025 [Page 173]
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The subkey has the fingerprint
570a5bbab93169876a8240da35a1ada7ba8a640aabe3ab467c797214844df15f.
-----BEGIN PGP PRIVATE KEY BLOCK-----
xcALBmd0hYAiAAAAQCZvpiFm/Nt5byIwwCpCW1T1RqeSEWUwkMvEjzIoQepGEGaU
nT26jjwOpYhXsY68lRFavd9+sDPx0pwcjSW/VBUAEVcomZeIAEy444fUzfVN85y3
Vy16th5Cf6aNYa9q2Fv/NhK2pmqe3Ynx3pMDRRmYpl7Q4c0JKNSi6kIChoII0SZv
piFm/Nt5byIwwCpCW1T1RqeSEWUwkMvEjzIoQepGEGaUnT26jjwOpYhXsY68lRFa
vd9+sDPx0pwcjSW/VBXC/wAAdNAGHyIKAAAAQQWCZ3SFgAMLCQcEFQoMCAIWAAKb
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AJ01IEKRWjCEHFSu42inAKW7xG+ESWLCqPL0fFHmPzPAp4hs7JbAPwgl2YJMY5fj
yvWPQggiQ0OR1GiyyVpYIaZvT1HvfyXn3CTaG/QsNv1nMGJH865B712CFCqtxlyH
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pfqv1zQij6E3b0vplP4uSFD9TWagmzyJ65xIS02UpOJHkcOB4jfvWlwMh/9/4bzH
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JT5iJ8V1Nk25GKKzP1Hbhjw7tWwuwwPGIsDeiqGA0wp/4qW50V4rBUkPrm683+e3
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Enh1mYMwVr7sacAWlH4yC4CqqLxUZjl4nP8krdoFmxGhi+YBsA5mrSDvPypQHJnj
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Kousidis, et al. Expires 16 November 2025 [Page 176]
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Kousidis, et al. Expires 16 November 2025 [Page 208]
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-----END PGP PRIVATE KEY BLOCK-----
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A.7.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.7.1
consisting of:
* A v6 SLH-DSA-256s Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 ML-KEM-1024+X448 Public-Subkey packet
* A v6 subkey binding signature
-----BEGIN PGP PUBLIC KEY BLOCK-----
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Kousidis, et al. Expires 16 November 2025 [Page 238]
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Kousidis, et al. Expires 16 November 2025 [Page 239]
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Kousidis, et al. Expires 16 November 2025 [Page 240]
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-----END PGP PUBLIC KEY BLOCK-----
A.7.3. Detached signature
Here is a detached signature for the message "Testing\n" made by the
secret key Appendix A.7.1:
* A v6 signature packet
-----BEGIN PGP SIGNATURE-----
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-----END PGP SIGNATURE-----
Authors' Addresses
Stavros Kousidis
BSI
Germany
Email: kousidis.ietf@gmail.com
Johannes Roth
MTG AG
Germany
Email: johannes.roth@mtg.de
Falko Strenzke
MTG AG
Germany
Email: falko.strenzke@mtg.de
Aron Wussler
Proton AG
Switzerland
Email: aron@wussler.it
Kousidis, et al. Expires 16 November 2025 [Page 267]