Post-Quantum Cryptography in OpenPGP
draft-ietf-openpgp-pqc-08
The information below is for an old version of the document.
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| Authors | Stavros Kousidis , Johannes Roth , Falko Strenzke , Aron Wussler | ||
| Last updated | 2025-04-24 (Latest revision 2025-04-15) | ||
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draft-ietf-openpgp-pqc-08
Network Working Group S. Kousidis
Internet-Draft BSI
Intended status: Informational J. Roth
Expires: 17 October 2025 F. Strenzke
MTG AG
A. Wussler
Proton AG
15 April 2025
Post-Quantum Cryptography in OpenPGP
draft-ietf-openpgp-pqc-08
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
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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 . . . . . . . . . . . . . . . . . . . 8
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 . . . . . . . . . . . . . . . . . . . . . . . 13
4.2. Composite Encryption Schemes with ML-KEM . . . . . . . . 14
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 . . . . . . . . . . . . . . . . . . 17
4.3.1. Public-Key Encrypted Session Key Packets (Tag 1) . . 17
4.3.2. Key Material Packets . . . . . . . . . . . . . . . . 18
5. Composite Signature Schemes . . . . . . . . . . . . . . . . . 19
5.1. Building blocks . . . . . . . . . . . . . . . . . . . . . 19
5.1.1. EdDSA-Based signatures . . . . . . . . . . . . . . . 19
5.1.2. ML-DSA signatures . . . . . . . . . . . . . . . . . . 19
5.2. Composite Signature Schemes with ML-DSA . . . . . . . . . 20
5.2.1. Key generation procedure . . . . . . . . . . . . . . 20
5.2.2. Signature Generation . . . . . . . . . . . . . . . . 20
5.2.3. Signature Verification . . . . . . . . . . . . . . . 21
5.3. Packet Specifications . . . . . . . . . . . . . . . . . . 21
5.3.1. Signature Packet (Tag 2) . . . . . . . . . . . . . . 21
5.3.2. Key Material Packets . . . . . . . . . . . . . . . . 21
6. SLH-DSA . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
6.1. The SLH-DSA Algorithms . . . . . . . . . . . . . . . . . 22
6.1.1. Key generation . . . . . . . . . . . . . . . . . . . 22
6.1.2. Signature Generation . . . . . . . . . . . . . . . . 23
6.1.3. Signature Verification . . . . . . . . . . . . . . . 23
6.2. Packet specifications . . . . . . . . . . . . . . . . . . 23
6.2.1. Signature Packet (Tag 2) . . . . . . . . . . . . . . 23
6.2.2. Key Material Packets . . . . . . . . . . . . . . . . 23
7. Notes on Algorithms . . . . . . . . . . . . . . . . . . . . . 23
7.1. Symmetric Algorithms for SEIPD Packets . . . . . . . . . 24
7.2. Hash Algorithms for Key Binding Signatures . . . . . . . 24
8. Migration Considerations . . . . . . . . . . . . . . . . . . 24
8.1. Encrypting to Traditional and PQ(/T) Keys . . . . . . . . 25
8.2. Signing with Traditional and PQ(/T) Keys . . . . . . . . 25
8.3. Key generation strategies . . . . . . . . . . . . . . . . 25
9. Security Considerations . . . . . . . . . . . . . . . . . . . 25
9.1. Security Aspects of Composite Signatures . . . . . . . . 26
9.2. Key combiner . . . . . . . . . . . . . . . . . . . . . . 26
9.2.1. Domain separation and context binding . . . . . . . . 26
9.3. ML-DSA and SLH-DSA hedged variants . . . . . . . . . . . 27
9.4. Symmetric Algorithms for SEIPD Packets . . . . . . . . . 27
9.5. Key generation . . . . . . . . . . . . . . . . . . . . . 27
10. Additional considerations . . . . . . . . . . . . . . . . . . 27
10.1. Performance Considerations for SLH-DSA . . . . . . . . . 28
11. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 29
12. Changelog . . . . . . . . . . . . . . . . . . . . . . . . . . 31
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12.1. draft-wussler-openpgp-pqc-01 . . . . . . . . . . . . . . 31
12.2. draft-wussler-openpgp-pqc-02 . . . . . . . . . . . . . . 31
12.3. draft-wussler-openpgp-pqc-03 . . . . . . . . . . . . . . 31
12.4. draft-wussler-openpgp-pqc-04 . . . . . . . . . . . . . . 32
12.5. draft-ietf-openpgp-pqc-00 . . . . . . . . . . . . . . . 32
12.6. draft-ietf-openpgp-pqc-01 . . . . . . . . . . . . . . . 32
12.7. draft-ietf-openpgp-pqc-02 . . . . . . . . . . . . . . . 32
12.8. draft-ietf-openpgp-pqc-03 . . . . . . . . . . . . . . . 32
12.9. draft-ietf-openpgp-pqc-04 . . . . . . . . . . . . . . . 33
12.10. draft-ietf-openpgp-pqc-05 . . . . . . . . . . . . . . . 33
12.11. draft-ietf-openpgp-pqc-06 . . . . . . . . . . . . . . . 33
12.12. draft-ietf-openpgp-pqc-07 . . . . . . . . . . . . . . . 33
12.13. draft-ietf-openpgp-pqc-08 . . . . . . . . . . . . . . . 33
13. Contributors . . . . . . . . . . . . . . . . . . . . . . . . 34
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . 34
References . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Normative References . . . . . . . . . . . . . . . . . . . . . 34
Informative References . . . . . . . . . . . . . . . . . . . . 34
Appendix A. Test Vectors . . . . . . . . . . . . . . . . . . . . 35
A.1. Sample v6 Ed25519 with ML-KEM-768+X25519 Data . . . . . . 36
A.1.1. Transferable Secret Key . . . . . . . . . . . . . . . 36
A.1.2. Transferable Public Key . . . . . . . . . . . . . . . 38
A.1.3. Encrypted and Signed Message . . . . . . . . . . . . 40
A.2. Sample v4 Ed25519 with ML-KEM-768+X25519 Data . . . . . . 41
A.2.1. Transferable Secret Key . . . . . . . . . . . . . . . 41
A.2.2. Transferable Public Key . . . . . . . . . . . . . . . 44
A.2.3. Encrypted and Signed Message . . . . . . . . . . . . 45
A.3. Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data . . 47
A.3.1. Transferable Secret Key . . . . . . . . . . . . . . . 47
A.3.2. Transferable Public Key . . . . . . . . . . . . . . . 54
A.3.3. Encrypted and Signed Message . . . . . . . . . . . . 60
A.3.4. Detached signature . . . . . . . . . . . . . . . . . 63
A.4. Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data . . . . 65
A.4.1. Transferable Secret Key . . . . . . . . . . . . . . . 65
A.4.2. Transferable Public Key . . . . . . . . . . . . . . . 73
A.4.3. Encrypted and Signed Message . . . . . . . . . . . . 82
A.4.4. Detached signature . . . . . . . . . . . . . . . . . 86
A.5. Sample SLH-DSA-128s with ML-KEM-768+X25519 Data . . . . . 88
A.5.1. Transferable Secret Key . . . . . . . . . . . . . . . 88
A.5.2. Transferable Public Key . . . . . . . . . . . . . . . 99
A.5.3. Encrypted and Signed Message . . . . . . . . . . . . 111
A.5.4. Detached signature . . . . . . . . . . . . . . . . . 115
A.6. Sample SLH-DSA-128f with ML-KEM-768+X25519 Data . . . . . 119
A.6.1. Transferable Secret Key . . . . . . . . . . . . . . . 119
A.6.2. Transferable Public Key . . . . . . . . . . . . . . . 143
A.6.3. Detached signature . . . . . . . . . . . . . . . . . 166
A.7. Sample SLH-DSA-256s with ML-KEM-1024+X448 Data . . . . . 174
A.7.1. Transferable Secret Key . . . . . . . . . . . . . . . 174
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A.7.2. Transferable Public Key . . . . . . . . . . . . . . . 214
A.7.3. Detached signature . . . . . . . . . . . . . . . . . 254
Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 268
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
3. Algorithm Combinations
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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. This permits the keyholder of an existing v4
certificate to add such a subkey to defend against store-now,
decrypt-later attacks from quantum computers without moving to a new
primary key.
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].
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+========================+===================+==================+
| | 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
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:
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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.
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
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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
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)
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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.
* 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.
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// 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.
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
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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.
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
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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 consists of the output of the
encryption procedure described in Section 4.2.3:
* 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.
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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.
* 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
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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:
+==============+=========+=======+========+========+===========+
| 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)
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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
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
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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.
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.
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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].
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.
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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:
* 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
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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.
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.
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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. Key generation strategies
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.
An OpenPGP certificate is composed of a certification-capable primary
key and one or more subkeys for signature, encryption, and
authentication. Two migration strategies are recommended:
1. Generate two independent certificates, one for PQ(/T)-capable
implementations, and one for legacy implementations.
Implementations not understanding PQ(/T) certificates can use the
legacy certificate, while PQ(/T)-capable implementations can also
use the newer certificate. This allows having a traditional
certificate for compatibility and a v6 PQ(/T) certificate, at a
greater complexity in key distribution.
2. Attach PQ(/T) encryption or signature subkeys to an existing
traditional v6 OpenPGP certificate. Implementations
understanding PQ(/T) will be able to parse and use the subkeys,
while PQ(/T)-incapable implementations can gracefully ignore
them. This simplifies key distribution, as only one certificate
needs to be communicated and verified, but leaves the primary key
vulnerable to quantum computer attacks.
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 signatures 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
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
[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>.
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[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>.
Appendix A. Test Vectors
To help implementing this specification a set of non-normative
examples follow here.
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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 X25519 Private-Subkey packet
* A v6 subkey binding signature
* A v6 ML-KEM-768+X25519 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
2357faea8775f69acb11183f81b765cc30db7daf2768827babe202a16d07d4aa.
The first subkey has the fingerprint
fe0f1b20e62a56caacc4d68f32e5a0a3c1e7a69a7d13541fa1761a3933b5b8cf.
The second subkey has the fingerprint
23eee71a76bc1eab20017a2ba4af492136ec6e6296ed60128b2223273bcb4d2c.
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-----BEGIN PGP PRIVATE KEY BLOCK-----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=
-----END PGP PRIVATE KEY BLOCK-----
Kousidis, et al. Expires 17 October 2025 [Page 37]
Internet-Draft PQC in OpenPGP April 2025
A.1.2. Transferable Public Key
Here is the corresponding Transferable Public Key for Appendix A.1.1
consisting of:
* A v6 Ed25519 Public-Key packet
* A v6 direct key self-signature
* A User ID packet
* A v6 positive certification self-signature
* A v6 X25519 Public-Subkey packet
* A v6 subkey binding signature
* A v6 ML-KEM-768+X25519 Public-Subkey packet
* A v6 subkey binding signature
Kousidis, et al. Expires 17 October 2025 [Page 38]
Internet-Draft PQC in OpenPGP April 2025
-----BEGIN PGP PUBLIC KEY BLOCK-----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-----END PGP PUBLIC KEY BLOCK-----
Kousidis, et al. Expires 17 October 2025 [Page 39]
Internet-Draft PQC in OpenPGP April 2025
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 v3 PKESK
* A v1 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
64b5bcf1facc004c9939db330c24bafc5a5d66bee2a4d93ee9c6ca722fa0c09d.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
de2a3622b030e3ec76f8971be2f7866d367780b24b990948460b82885873db45.
The hex-encoded output of multiKeyCombine is
ca6d4f02bc531f16a096c2596eb983e47de08a0462d93072f641cff8bb275719.
The hex-encoded session key is
766069bccd89f5f196159cac2e489e081d80ba7c54a79f03f7e8fad0fef7c246.
Kousidis, et al. Expires 17 October 2025 [Page 40]
Internet-Draft PQC in OpenPGP April 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 v4 direct key self-signature
* A User ID packet
* A v4 positive certification self-signature
Kousidis, et al. Expires 17 October 2025 [Page 41]
Internet-Draft PQC in OpenPGP April 2025
* A v4 X25519 Private-Subkey packet
* A v4 subkey binding signature
* A v4 ML-KEM-768+X25519 Private-Subkey packet
* A v4 subkey binding signature
The primary key has the fingerprint
bee82527bae0f931a3195628a3687fdca62e4844.
The first subkey has the fingerprint
3e6a6bd51614ff3810ad2256ada71a07c0afbd7d.
The second subkey has the fingerprint
3c5e54c7de276f3e308e7da8c5bcde48f991e7c8.
Kousidis, et al. Expires 17 October 2025 [Page 42]
Internet-Draft PQC in OpenPGP April 2025
-----BEGIN PGP PRIVATE KEY BLOCK-----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-----END PGP PRIVATE KEY BLOCK-----
Kousidis, et al. Expires 17 October 2025 [Page 43]
Internet-Draft PQC in OpenPGP April 2025
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
* A v4 direct key self-signature
* A User ID packet
* A v4 positive certification self-signature
* A v4 X25519 Public-Subkey packet
* A v4 subkey binding signature
* A v4 ML-KEM-768+X25519 Public-Subkey packet
* A v4 subkey binding signature
Kousidis, et al. Expires 17 October 2025 [Page 44]
Internet-Draft PQC in OpenPGP April 2025
-----BEGIN PGP PUBLIC KEY BLOCK-----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-----END PGP PUBLIC KEY BLOCK-----
A.2.3. Encrypted and Signed 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:
Kousidis, et al. Expires 17 October 2025 [Page 45]
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* A v3 PKESK
* A v1 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
7c0a891f086a52eaf4ba21084c7ef13aae3b9507da54dd256861fc28525aecc6.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
9083fc83286b1676dd95750332b44040022761a1cb205cf0f919cad86e9fee53.
The hex-encoded output of multiKeyCombine is
8132887889f1f8e998ee9458b7fb9185aaa8ffbb8593002d6f6550e0b1e27771.
The hex-encoded session key is
e23f844c92acffb60feacf70c98b826d8c5dc9af1e0a894a01865877def9f55c.
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-----BEGIN PGP MESSAGE-----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-----END PGP MESSAGE-----
A.3. Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data
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
Kousidis, et al. Expires 17 October 2025 [Page 47]
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* A v6 ML-KEM-768+X25519 Private-Subkey packet
* A v6 subkey binding signature
The primary key has the fingerprint
42120bfb467bf42c8a3eecb7fd38a8ba426ae95d916f9e77c3fd3f3955e1627d.
The subkey has the fingerprint
8333c14b27fd556d29b18141811531452dd88c23a1c09e92561521014c1cc460.
-----BEGIN PGP PRIVATE KEY BLOCK-----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QbJgLUy3DwFpHXLYqsPeF4g0J//Bip+vK5x7D+aRNXrjD97O4Mgu4GCWBvRQ5XpH
UUvDtCxBlP9xRvsexpHXNrwQs+tHQevXHTJiaXd+jRhn43wzwC1gk6EjwR1qhgTN
Ihk+E9giT7BJ2O0S5eETH3PO0HNi3YiDbnMuqqttU4SSRV2RFrGa+qOVGHPQorCN
m/N254s2G3rvecTgX4B39KDA88l5K5oGjFFM00j4UYk/OPvEUegK2YSZoDDi+UUw
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mAtec24VjTR3fed1qoXjKX8Ogy2p7L3t07S90hk/lI5aHngBw6UVw8jh+sL8xrQI
HZN9VQ8CAz6XR3Obr3Tx9awo0GLCmbXMeQljc3WppE0XGwnOvMSAWD5xeI/3W3vq
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IPByVKAMqmOYRwEqNL9YPDEX76f+sUQxLosw4UsGK+4GEWEdrMG3w0v5pfq41Ohh
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oIRywcdzfradj25V0D7HeXNW2XKFbwja8IvSR4hd8C+G9uJdG5PCq7Uef2fxHEvp
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pNwBKUGPrOLuAAAAAAAAAAAAAAAAAAAAAAAABg8WFx4l
-----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
-----BEGIN PGP PUBLIC KEY BLOCK-----
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Kousidis, et al. Expires 17 October 2025 [Page 54]
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Kousidis, et al. Expires 17 October 2025 [Page 55]
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MQO30Rd4kIWq5jUITQDDa+Iqe/cfk89UFl3laDOtxnSHKS7m38VZSOKhPGJnPESf
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zja2QMbqwmSeegHUQ5h8z4W4JJjSOwh66bcb+qk5VgkdL/r+9zyesbaz1Bb98Ws5
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kknNyRxd0fwyR4Qf+jaVARPt4bO3k13eGDrAto2SJKC6OX/j5DutdpEg2ITgQdBE
QhkkVXmTtPAOGUOVmqLj7/YNWMXM0vH75hcsL2uApNwBKUGPrOLuAAAAAAAAAAAA
AAAAAAAAAAAABg8WFx4l
-----END PGP PUBLIC KEY BLOCK-----
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
dd2624e09d324b23a23da8940c606b7e16080dcc8770cbe0956d4fbe89bdf6c1.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
780a7139851473d02ce4d970bc5f4fe92f0c8fdf51e52b435c842f534adb8b6d.
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The hex-encoded output of multiKeyCombine is
d988239e4524f0defc4396e79491782b4ca6801045184d69a48288ba0695a25a.
The hex-encoded session key is
e3b55fda0b17b52825146f3c547c60b5aa7cfdaf0fc3b573745f5553632f9526.
-----BEGIN PGP MESSAGE-----
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Kousidis, et al. Expires 17 October 2025 [Page 61]
Internet-Draft PQC in OpenPGP April 2025
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Kousidis, et al. Expires 17 October 2025 [Page 62]
Internet-Draft PQC in OpenPGP April 2025
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-----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-----
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Kousidis, et al. Expires 17 October 2025 [Page 63]
Internet-Draft PQC in OpenPGP April 2025
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qMtG7Iwrd+6aEqhQMOrmDh0DnEiR5IifuKoL/84SBMtU4jKcEUaBPGu9dns1nvoY
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6NvYgqCuisFKHvsv6k12p+nLBKS2qsOSoH9Wv5R9lCrj9/CM40lhG2rl7TE3ehuG
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wPS/lbgwPnSsfznxpvY+sSNQrFKE/6D+a/0hbAZtzREXyROnmlDMkSFdL6tFLgJ7
bVCseFWaE4XZ1I3cxtSAv7DzuVqN8ZYPifw4ZmtGaXu3xYM07m9UUumIo9D1mWFv
x+TlTr0+yVfD4nwkwF3IO4I6HkLRB/PMGJMVNJPd3e7ZbDJgcpFzkj1YgUhgok4y
fWK2oSIEsj5bzp05vkigPWdgRfiY5T7VDHPiXdQQxhxGdnXj5jHzwMBdLwNnri0H
y6+I+1hr9UW8nwxNfbSqS9enNuE3sWMBwRteGZmhv9glQaSw4PCgo83lIrUAQ097
mdDzL3TA4/cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAULDxEYHQ==
Kousidis, et al. Expires 17 October 2025 [Page 64]
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-----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
4141f9deb6ee8c3f8484c3e0d0f41796da5c6b8e6994145e3a335f557cf544c3.
The subkey has the fingerprint
8cc1fdaed98c2f3b0601eab83fe96e06a44d234bbe61d9b04c1e81c4f66d2080.
-----BEGIN PGP PRIVATE KEY BLOCK-----
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QypQsX/y3mM+Qj2YQ64XO5/Kr6Ac05j0AAdV5fbORGl/yygTGMu/vUYVdZYC8AqH
Kousidis, et al. Expires 17 October 2025 [Page 65]
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Kousidis, et al. Expires 17 October 2025 [Page 66]
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AAAAAAAAAAAAAAAAAAAAAAAAAAYNEhgeKC80
-----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:
Kousidis, et al. Expires 17 October 2025 [Page 73]
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* 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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F8RQIXIHW+dKtzltOeINaMohbnoPlKaZ+jHAu5BuLTHgkaPMKZcLTJh0AlH9++em
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C4eLpcVFeKtUREXMOFyhOPxgmvOShJxE0lFcmonAw1nrndzijYF4iD38vAueYPB/
v9Gv7pHpBpClHT631/kOaBky2cmJ5dkNxBozuDz5zweOo9BKwc8ZktzzYK2mYK89
0QQX9ccH9XkxQHZ3xHBLqd2m4Gjk8VU440htIUBrEA1xRvCWCjOnW7vWOiHNGwPH
Y6IEHuNa19EJ3eU1fVDU+5aXBe3DPvEfV5w+hTVogleCKurnqX3QtQG//u51AY7F
SzlksHMxwUAk3SYSnnlqqxQ+oCZfLTtVqcj/ChAgs7TF9iN9lsbxO0Vuv9XYJkFn
eNXlCxgqRoWGjKCz8VaGjq6y3/QdJImj2gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Bg0SGB4oLzQ=
-----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
* A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is
595d8d4aeb0351df9ce5a4c687e923e79c869c40ecae2b8270e06f5ff24568c4.
The hex-encoded ecdhKeyShare input to multiKeyCombine is 0a1733584155
ba6681501814af1391b86a4e5c36af9d391456012be3e6dc2aed16920b65e71f7df76
05d4e77add46408374acf8c8eb89717.
The hex-encoded output of multiKeyCombine is
5834e06ba1f79985bcad6e085b709e50a2fc908e6fa1ba90f2550cc93812ed0c.
The hex-encoded session key is
b53d7bd20c351ed89af94d091f69ece4ccec3bb9d000387ff71e3d7ba53759b0.
Kousidis, et al. Expires 17 October 2025 [Page 82]
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-----BEGIN PGP MESSAGE-----
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HrrS35SB8JIKRQY=
-----END PGP MESSAGE-----
Kousidis, et al. Expires 17 October 2025 [Page 85]
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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-----
wtIdBgEfDgAAACkFgmf9RVoioQZBQfnetu6MP4SEw+DQ9BeW2lxrjmmUFF46M19V
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Kousidis, et al. Expires 17 October 2025 [Page 86]
Internet-Draft PQC in OpenPGP April 2025
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Kousidis, et al. Expires 17 October 2025 [Page 87]
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-----END PGP SIGNATURE-----
A.5. Sample SLH-DSA-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
* A v6 subkey binding signature
The primary key has the fingerprint
e761d4ec762a5f9c35f72b0c8a030c184b903c35459e74b25341b245819ab3fe.
The subkey has the fingerprint
1090ff914d4fb0a40eb3354aeec8575609f0f72e6ad881f54e94932cd78227f6.
-----BEGIN PGP PRIVATE KEY BLOCK-----
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Kousidis, et al. Expires 17 October 2025 [Page 88]
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Kousidis, et al. Expires 17 October 2025 [Page 93]
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Kousidis, et al. Expires 17 October 2025 [Page 94]
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Kousidis, et al. Expires 17 October 2025 [Page 95]
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n1h+k/xD3hah
-----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:
Kousidis, et al. Expires 17 October 2025 [Page 99]
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* 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-----
xioGUdDGgCAAAAAgKIiGwBNmVaz3Xu2SLl2wKiS/jaIsIYJ19g0mJo+RQTrC3k8G
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JesJ6umBzBz0fbZ0vSFU0MqR3IYDXGHWI5pDYPX851VtuGkFSGYzk6MvMjuI3JBk
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76khLt0xLtG1QmCDyxUqAUdKHvy1GoWpI6RXHbSun1h+k/xD3hah
-----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
daca96724eaee6a4353554dab8a0fdcc5efec22f7880ab93fcf65b0e833a716c.
The hex-encoded ecdhKeyShare input to multiKeyCombine is
66abbce3af562ad2e95489c2e53c27d98f832240579a468f5a2ca6cfbe10ad7a.
The hex-encoded output of multiKeyCombine is
37348a4e107d3dda99af10f1ce2711a539176e709a1fd8be1068ff2c297facb1.
The hex-encoded session key is
2c2cc21a9a2f765af36e9e767d6c3aebd81e1b93d6b9bee38fdfa6e679a5409d.
-----BEGIN PGP MESSAGE-----
wcPtBiEGEJD/kU1PsKQOszVK7shXVgnw9y5q2IH1TpSTLNeCJ/YjI+0HyqzdU2XH
MLd2hHg3OsvoVBK/RAzPFewbqPFsrnq13ENOlUwWIOeqFJZyQ3X7QzYUsMTVS2D3
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J1gWar800s0/HD4CLaVjZzgckGTTcBYtvYTG1JO9kdZYbCLQRo1LGB2Y/d8zccTg
5T1ONLiQmyz8SarelAwbKbFFG1Eibx1rE9GgE8CFUQ0BP+O3zp65v1fMyT6Uxu6K
FYq12m9hGZDsod8KT28VIIhKxeX4FfUav1GHjduveBI/7MYblPMDXw+7fHzVQCST
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xbhtkC7ISiUy12SM/JsGtUFFIBKbjR3Q3nOrY4elS0eIYnm1eEnaTMd9nQ4/kvdk
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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
Kousidis, et al. Expires 17 October 2025 [Page 115]
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-----BEGIN PGP SIGNATURE-----
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gDvdjI9/JgrVXbWwE8mhIUM5KzTIum65Dlp+CopmDuYZQ1DpqDJUpwfEO7N/mpXC
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0f8ZnLz2P7uZcgd+huY4JY/YZcG9ituF0gqwvq3tWZ+Nex+cchdurcpP/6NFii6u
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i5JT7sRSBk8umUCgT0e+NjFpcw5f6B0x16SxCjcVzblkICtQrAMCglbX28ZKMpR0
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fh2Lg4nKCt/0ssOi2EsmFROasP3QhJXLV/WaghB/my6EIaaFAOhxENnme6kjpFcd
tK6fWH6T/EPeFqE=
-----END PGP SIGNATURE-----
A.6. Sample SLH-DSA-128f with ML-KEM-768+X25519 Data
A.6.1. Transferable Secret Key
Here is a Transferable Secret Key consisting of:
* 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
7625d0725493f2a0c38080e3a3928016d73ec056e4cf54b1f93a1da7794e67ad.
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The subkey has the fingerprint
cea501a4831757a33b9fa03973b81656cf2ecac6f705daf1647e1f7190366ca6.
-----BEGIN PGP PRIVATE KEY BLOCK-----
xWsGUdDGgCEAAAAgc+0ewM1ijvsIKMxi9Zrf9uQCwknrQwQe/usGuxtyQnUAMJV9
syjJaZHcVfe1ZBbgZdAkTcY2o4XodmKBLYsATBVz7R7AzWKO+wgozGL1mt/25ALC
SetDBB7+6wa7G3JCdcL/AABDHwYfIQwAAABABYJR0MaAAwsJBwMVDAgCFgACmwMC
HgkioQZ2JdByVJPyoMOAgOOjkoAW1z7AVuTPVLH5Oh2neU5nrQUnCQIHAgAAAACc
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i/6FAq0cwjBrAO37MO/VUO3Lm5HZ/HjvpjXe88wJv2pjsefZvjnimWqPS/ERpTe6
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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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-----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
-----BEGIN PGP SIGNATURE-----
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Kousidis, et al. Expires 17 October 2025 [Page 166]
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Kousidis, et al. Expires 17 October 2025 [Page 167]
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Kousidis, et al. Expires 17 October 2025 [Page 172]
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AIaMF42e4WY5VTr79hwWytrbd+OcKp/kPt11HdnyzEN2tA4+72vNx7ZyGhZre0ks
Cj2yeauum6evRNGkYLzwY65DzDOPNXnr3bJQLesp1nj5I/lUhBj4eZ5E3YF7UUYw
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jyXEJEq1+ZU9396FaRvilWg0IwY5TZ9gW9lnXmAei/502Daqn0wl0I7BjXwZACQl
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rDyTq0Plj88ebGMCk7Yk42TIQHfcxbDU1ZzsrIg2
-----END PGP SIGNATURE-----
A.7. Sample SLH-DSA-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
eb55807530d02e475e5a6f403fec5ff9c60b078395fab4c9a862ec8c82a12a95.
The subkey has the fingerprint
6e8bbbed8d24472510941bf18639f7f799f86e8d8f3a8f49694e5687885388c1.
-----BEGIN PGP PRIVATE KEY BLOCK-----
xcALBlHQxoAiAAAAQP+eUDpNXN724dp/5CsIwwEolkQAXKRDGs4AbmAPbqO9SB5A
itCfC8sFKX/tG5gjdVDT6TJxwaOr/k2qTb5/7hQAloCYcD75l7jKljaOVrI5spzk
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UDpNXN724dp/5CsIwwEolkQAXKRDGs4AbmAPbqO9SB5AitCfC8sFKX/tG5gjdVDT
6TJxwaOr/k2qTb5/7hTC/wAAdNAGHyIKAAAAQQWCUdDGgAMLCQcEFQoMCAIWAAKb
AwIeCSKhButVgHUw0C5HXlpvQD/sX/nGCweDlfq0yahi7IyCoSqVBScJAgcCAAAA
ACQOIIX3SFIMfGi39dATVQi4y7ioyYzg45KWxeW6N2hLaL2NEar5g3ZZk5Bji6Pk
1THfgr6iOvYusFeSknVKraZvjAH7Gj6iBNuYjr9UFvI4vJL4SRuZaLOCytDo6S5e
SIyIvpO7DmuzKUAybk9/OtPLg/GRuK+9lWDEaCA6BmpH3JFSodfAeQiuMt2JzM5a
EAg8qK/0WF0Pm8m2qZdfq7hqOnxeuGeqfxY+1oUjp9XDWpX0RAD+YCKiECMljk1C
2NJdPC1R5xEOChweI+B7aZ5KI/cYjmyjTyixTCCCr3Bq7VVKhskUld1K/BEjTafr
Kousidis, et al. Expires 17 October 2025 [Page 174]
Internet-Draft PQC in OpenPGP April 2025
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Kousidis, et al. Expires 17 October 2025 [Page 175]
Internet-Draft PQC in OpenPGP April 2025
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-----END PGP PRIVATE KEY BLOCK-----
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
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-----BEGIN PGP PUBLIC KEY BLOCK-----
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Internet-Draft PQC in OpenPGP April 2025
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Internet-Draft PQC in OpenPGP April 2025
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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
Kousidis, et al. Expires 17 October 2025 [Page 254]
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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 17 October 2025 [Page 268]