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Split signing algorithms for COSE
draft-lundberg-cose-two-party-signing-algs-04

Document Type Active Internet-Draft (individual)
Authors Emil Lundberg , Michael B. Jones
Last updated 2025-11-24
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draft-lundberg-cose-two-party-signing-algs-04
COSE                                                    E. Lundberg, Ed.
Internet-Draft                                                    Yubico
Intended status: Standards Track                             M. B. Jones
Expires: 28 May 2026                              Self-Issued Consulting
                                                        24 November 2025

                   Split signing algorithms for COSE
             draft-lundberg-cose-two-party-signing-algs-04

Abstract

   This specification defines COSE algorithm identifiers for negotiating
   how to split a signature algorithm between two cooperating parties.
   Typically the first party hashes the data to be signed and the second
   party finishes the signature over the hashed data.  This is a common
   technique, useful for example when the signing private key is held in
   a smart card or similar hardware component with limited processing
   power and communication bandwidth.  The resulting signatures are
   identical in structure to those computed by a single party, and can
   be verified using the same verification algorithm without additional
   steps to preprocess the signed data.

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-lundberg-cose-two-party-
   signing-algs/.

   Discussion of this document takes place on the COSE Working Group
   mailing list (mailto:cose@ietf.org), which is archived at
   https://mailarchive.ietf.org/arch/browse/cose/.  Subscribe at
   https://www.ietf.org/mailman/listinfo/cose/.

   Source for this draft and an issue tracker can be found at
   https://github.com/YubicoLabs/cose-two-party-signing-algs-rfc.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.

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   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on 28 May 2026.

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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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   Please review these documents carefully, as they describe your rights
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   provided without warranty as described in the Revised BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Requirements Notation and Conventions . . . . . . . . . .   4
   2.  Split Signing Algorithms  . . . . . . . . . . . . . . . . . .   4
     2.1.  ECDSA . . . . . . . . . . . . . . . . . . . . . . . . . .   5
     2.2.  HashEdDSA . . . . . . . . . . . . . . . . . . . . . . . .   5
   3.  COSE Signing Arguments  . . . . . . . . . . . . . . . . . . .   7
     3.1.  COSE Signing Arguments Common Parameters  . . . . . . . .   8
   4.  Security Considerations . . . . . . . . . . . . . . . . . . .   9
     4.1.  Protocol-Level Trusted Roles  . . . . . . . . . . . . . .   9
     4.2.  Component-Level Trusted Roles . . . . . . . . . . . . . .   9
   5.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .  10
     5.1.  COSE Algorithms Registrations . . . . . . . . . . . . . .  10
     5.2.  COSE Signing Arguments Common Parameters Registry . . . .  12
     5.3.  COSE Signing Arguments Algorithm Parameters Registry  . .  12
   6.  Implementation Status . . . . . . . . . . . . . . . . . . . .  12
     6.1.  Dependent Specifications  . . . . . . . . . . . . . . . .  13
   7.  References  . . . . . . . . . . . . . . . . . . . . . . . . .  14
     7.1.  Normative References  . . . . . . . . . . . . . . . . . .  14
     7.2.  Informative References  . . . . . . . . . . . . . . . . .  15
   Document History  . . . . . . . . . . . . . . . . . . . . . . . .  16
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  17

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1.  Introduction

   CBOR Object Signing and Encryption (COSE) [RFC9052] algorithm
   identifiers are used for algorithm negotiation and to annotate
   cryptographic objects with how to interpret them, for example which
   algorithm to use to verify a signature or decapsulate a shared key.
   Existing COSE algorithm identifiers omit some internal details of how
   the object was constructed, since those details are typically
   irrelevant for the recipient.

   The algorithm identifiers defined in this specification are meant for
   a complementary use case: to divide responsibilities during
   _construction_ of a cryptographic object, instead of describing how
   to _consume_ the object.  Specifically, they provide an interoperable
   way to negotiate how a signing operation is split between two
   cooperating parties, for example, a smart card and a software
   application, while the verification algorithm for the resulting
   signature remains the same as if the signature was created by a
   single party.  These split algorithm identifiers are therefore not
   meant for annotating signature objects, since the verification
   algorithm is better indicated using already existing algorithm
   identifiers.

   As mentioned above, a primary use case for this is for algorithm
   negotiation between a software application and a smart card or other
   hardware security module (HSM) holding the signing private key.
   Since the HSM may have limited processing power and communication
   bandwidth, it may not be practical to send the entire original
   message to the HSM.  Instead, since most signature algorithms begin
   with digesting the message into a fixed-length intermediate input,
   this initial digest can be computed by the software application while
   the HSM performs the rest of the signature algorithm on the digest.
   This is a common technique used in standards such as OpenPGP
   [OPENPGPCARD], PKCS #11 [PKCS11-Spec-v3.1], and PIV [FIPS-201].

   Since different signature algorithms digest the message in different
   ways and at different stages of the algorithm, it is not possible for
   a cryptographic API to specify that, for example, "the hash digest is
   computed by the caller" generically for all algorithms.  Instead, the
   algorithm identifiers defined in this specification enable the
   parties of that cryptographic API to signal precisely, for each
   signature algorithm individually, which steps of the algorithm are
   performed by which party.  We thus define two roles: the _digester_
   (e.g., a software application) that initializes the signing
   procedure, and the _signer_ (e.g., an HSM) that holds exclusive
   control of the signing private key.

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   Note that these algorithm identifiers do not define new "pre-hashed"
   variants of the base signature algorithm, nor an intermediate "hash
   envelope" data structure, such as that defined in
   [I-D.COSE-Hash-Envelope].  Rather, these identifiers denote existing
   signature algorithms that would typically be executed by a single
   party, but split into two stages.

   Some signature algorithms, such as PureEdDSA [RFC8032], by their
   design, cannot be split in this way, and therefore cannot be assigned
   split signing algorithm identifiers.  However, if such a signature
   algorithm defines a "pre-hashed" variant, such as Ed25519ph
   [RFC8032], that "pre-hashed" algorithm can be assigned a split
   signing algorithm identifier, enabling the pre-hashing step to be
   performed by the _digester_ and the remaining steps by the _signer_.

1.1.  Requirements Notation and Conventions

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in BCP
   14 RFC2119 [RFC8174] when, and only when, they appear in all
   capitals, as shown here.

2.  Split Signing Algorithms

   This section defines divisions of signing algorithm steps between a
   _digester_ and a _signer_ in a split signing protocol, and assigns
   algorithm identifiers to these algorithm divisions.  The _digester_
   performs the first part of the split algorithm and does not have
   access to the signing private key, while the _signer_ performs the
   second part of the split algorithm and has access to the signing
   private key.  For signing algorithms that format the message to
   insert domain separation tags, as described in Section 2.2.5 of
   [RFC9380], this message formatting is also performed by the _signer_.

   The algorithm identifiers defined in this specification MAY appear in
   COSE structures used internally between the _digester_ and the
   _signer_ in a split signing protocol, but SHOULD NOT appear in COSE
   structures consumed by signature verifiers.  COSE structures consumed
   by signature verifiers SHOULD instead use the corresponding
   conventional algorithm identifiers for the verification algorithm.
   These are listed in the "Verification algorithm" column in the tables
   defining split signing algorithm identifiers.

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2.1.  ECDSA

   ECDSA [FIPS-186-5] split signing uses the following division between
   the _digester_ and the _signer_ of the steps of the ECDSA signature
   generation algorithm [FIPS-186-5]:

   *  The signing procedure is defined in Section 6.4.1 of [FIPS-186-5].

   *  The _digester_ performs Step 1 of the signing procedure - hashing
      the message, producing the value _H_.

   *  The message input to the _signer_ is the value _H_ defined in the
      signing procedure.

   *  The _signer_ resumes the signing procedure from Step 2.

   The following algorithm identifiers are defined:

     +==============+=======+==============+=========================+
     | Name         | COSE  | Verification | Description             |
     |              | Value | algorithm    |                         |
     +==============+=======+==============+=========================+
     | ESP256-split | TBD   | ESP256       | ESP256 split signing as |
     |              |       |              | defined in Section 2.1  |
     +--------------+-------+--------------+-------------------------+
     | ESP384-split | TBD   | ESP384       | ESP384 split signing as |
     |              |       |              | defined in Section 2.1  |
     +--------------+-------+--------------+-------------------------+
     | ESP512-split | TBD   | ESP512       | ESP512 split signing as |
     |              |       |              | defined in Section 2.1  |
     +--------------+-------+--------------+-------------------------+

               Table 1: ECDSA split signing algorithm values.

   Note: This is distinct from the similarly named Split-ECDSA (SECDSA)
   [SECDSA], although SECDSA can be implemented using this split
   procedure as a component.

2.2.  HashEdDSA

   Split HashEdDSA [RFC8032] uses the following division between the
   _digester_ and the _signer_ of the steps of the HashEdDSA signing
   algorithm [RFC8032]:

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   *  HashEdDSA is a combination of the EdDSA signing procedure and the
      PureEdDSA signing procedure.  The EdDSA signing procedure is
      defined in the first paragraph of Section 3.3 of [RFC8032].  The
      PureEdDSA signing procedure is defined in the second paragraph of
      Section 3.3 of [RFC8032].

   *  The _digester_ computes the value PH(M) defined in the EdDSA
      signing procedure.

   *  The message input to the _signer_ is the value PH(M) defined in
      the EdDSA signing procedure.  This value is represented as M in
      the PureEdDSA signing procedure.

   *  The _signer_ executes the PureEdDSA signing procedure, where the
      value denoted M in the PureEdDSA signing procedure takes the value
      denoted PH(M) in the EdDSA signing procedure.

   PureEdDSA [RFC8032] cannot be divided in this way since such a
   division would require that the _digester_ has access to the private
   key.

   The following algorithm identifiers are defined:

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    +=================+=======+==============+========================+
    | Name            | COSE  | Verification | Description            |
    |                 | Value | algorithm    |                        |
    +=================+=======+==============+========================+
    | Ed25519ph       | TBD   | Ed25519ph    | EdDSA using the        |
    |                 |       |              | Ed25519ph parameter    |
    |                 |       |              | set in Section 5.1 of  |
    |                 |       |              | [RFC8032]              |
    +-----------------+-------+--------------+------------------------+
    | Ed25519ph-split | TBD   | Ed25519ph    | EdDSA using the        |
    |                 |       |              | Ed25519ph parameter    |
    |                 |       |              | set in Section 5.1 of  |
    |                 |       |              | [RFC8032] and split as |
    |                 |       |              | defined in Section 2.2 |
    +-----------------+-------+--------------+------------------------+
    | Ed448ph         | TBD   | Ed448ph      | EdDSA using the        |
    |                 |       |              | Ed448ph parameter set  |
    |                 |       |              | in Section 5.2 of      |
    |                 |       |              | [RFC8032]              |
    +-----------------+-------+--------------+------------------------+
    | Ed448ph-split   | TBD   | Ed448ph      | EdDSA using the        |
    |                 |       |              | Ed448ph parameter set  |
    |                 |       |              | in Section 5.2 of      |
    |                 |       |              | [RFC8032] and split as |
    |                 |       |              | defined in Section 2.2 |
    +-----------------+-------+--------------+------------------------+

                    Table 2: HashEdDSA algorithm values.

3.  COSE Signing Arguments

   While many signature algorithms take the private key and data to be
   signed as the only two parameters, some signature algorithms have
   additional parameters that must also be set.  For example, to sign
   using a key derived by ARKG [I-D.bradleylundberg-ARKG], two
   additional arguments kh and ctx are needed in ARKG-Derive-Private-Key
   to derive the signing private key.

   While such additional arguments are simple to provide to the API of
   the signing procedure in a single-party context, in a split signing
   context these additional arguments also need to be conveyed from the
   _digester_ to the _signer_. For this purpose, we define a new COSE
   structure COSE_Sign_Args for "COSE signing arguments".  This enables
   defining a unified, algorithm-agnostic protocol between the
   _digester_ and the _signer_, rather than requiring a distinct
   protocol for each signature algorithm for the sake of conveying
   algorithm-specific parameters.

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   COSE_Sign_Args is built on a CBOR map.  The set of common parameters
   that can appear in a COSE_Sign_Args can be found in the IANA "COSE
   Signing Arguments Common Parameters" registry (TODO).  Additional
   parameters defined for specific signing algorithms can be found in
   the IANA "COSE Signing Arguments Algorithm Parameters" registry
   (TODO).

   The CDDL grammar describing COSE_Sign_Args, using the CDDL fragment
   defined in Section 1.5 of [RFC9052], is:

   COSE_Sign_Args = {
       3 ^ => tstr / int,  ; alg
       * label => values,
   }

3.1.  COSE Signing Arguments Common Parameters

   This document defines a set of common parameters for a COSE Signing
   Arguments object.  Table 3 provides a summary of the parameters
   defined in this section.

    +======+=======+============+=================+==================+
    | Name | Label | CBOR Type  | Value Registry  | Description      |
    +======+=======+============+=================+==================+
    | alg  | 3     | tstr / int | COSE Algorithms | Signing          |
    |      |       |            |                 | algorithm to use |
    +------+-------+------------+-----------------+------------------+

       Table 3: Common parameters of the COSE_Sign_Args structure.

   *  alg: This parameter identifies the signing algorithm the
      additional arguments apply to.  The signer MUST verify that this
      algorithm matches any key usage restrictions set on the key to be
      used.  If the algorithms do not match, then the signature
      operation MUST be aborted with an error.

   Definitions of COSE algorithms MAY define additional algorithm-
   specific parameters for COSE_Sign_Args.

   The following CDDL example conveys additional arguments for signing
   data using the ESP256-split algorithm (see Section 2.1) and a key
   derived using ARKG-P256 [I-D.bradleylundberg-ARKG]:

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   {
     3: -65539,   ; alg: ESP256-split with ARKG-P256 (placeholder value)

                  ; ARKG-P256 key handle
                  ; (HMAC-SHA-256-128 followed by
                     SEC1 uncompressed ECDH public key)
     -1: h'27987995f184a44cfa548d104b0a461d
           0487fc739dbcdabc293ac5469221da91b220e04c681074ec4692a76ffacb9043de
             c2847ea9060fd42da267f66852e63589f0c00dc88f290d660c65a65a50c86361',

                  ; ctx argument to ARKG-Derive-Private-Key
     -2: 'ARKG-P256.test vectors',
   }

4.  Security Considerations

4.1.  Protocol-Level Trusted Roles

   This specification assumes that both the _digester_ and _signer_
   roles described in Section 2 are trusted and cooperate honestly.
   This is because these split signing procedures concern details that
   are considered implementation details from a verifier's perspective.
   When a signature is generated by a single party, that single party
   takes on both the _digester_ and the _signer_ roles, and obviously
   trusts itself to perform the _digester_ role honestly.  This
   assumption is carried forward for the split signing use case: the
   _digester_ is assumed trusted, since it is part of the overall
   procedure of generating a signature over some input data.  From the
   verifier's perspective, a malicious _digester_ in the split signing
   model would have the same powers as a malicious signature generator
   in a single-party signing model.  Thus, on the application or
   protocol level, assuming an honest _digester_ is no more restrictive
   than assuming an honest signature generator.

4.2.  Component-Level Trusted Roles

   The reasoning in Section 4.1 does not hold on the component level.  A
   _signer_ implementation MUST NOT assume that the _digester_
   implementation it interoperates with is necessarily honest.  Split
   signing algorithms MUST NOT be defined in a way that enables a
   malicious _digester_ with access to an honest _signer_ to produce
   forgeries or extract secrets from the _signer_.

   For example, for ECDSA (Section 2.1), a malicious _digester_ can
   choose _H_ in such a way that the _signer_ will derive any
   _digester_-chosen value of _e_, including zero or other potentially
   problematic values.  Fortunately, in this case, this does not enable
   the _digester_ to extract the signature nonce or private key.  It

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   also does not enable forgeries, since the _digester_ still needs to
   find a preimage of _e_ for the relevant hash function.  Definitions
   of other algorithms need to ensure that similar chosen-input attacks
   do not enable extracting secrets or forging protocol-level messages.

5.  IANA Considerations

5.1.  COSE Algorithms Registrations

   This section registers the following values in the IANA "COSE
   Algorithms" registry [IANA.COSE]:

   *  Name: ESP256-split

      -  Value: TBD (Requested Assignment -300)

      -  Description: ESP256 split signing

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 2.1 of this specification

      -  Recommended: Yes

   *  Name: ESP384-split

      -  Value: TBD (Requested Assignment -301)

      -  Description: ESP384 split signing

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 2.1 of this specification

      -  Recommended: Yes

   *  Name: ESP512-split

      -  Value: TBD (Requested Assignment -302)

      -  Description: ESP512 split signing

      -  Capabilities: [kty]

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      -  Change Controller: IETF

      -  Reference: Section 2.1 of this specification

      -  Recommended: Yes

   *  Name: Ed25519ph

      -  Value: TBD

      -  Description: EdDSA using the Ed25519ph parameter set in
         Section 5.1 of [RFC8032]

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 5.1 of [RFC8032]

      -  Recommended: Yes

   *  Name: Ed25519ph-split

      -  Value: TBD (Requested Assignment -303)

      -  Description: Ed25519ph split as defined in Section 2.2

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 2.2 of this specification

      -  Recommended: Yes

   *  Name: Ed448ph

      -  Value: TBD

      -  Description: EdDSA using the Ed448ph parameter set in
         Section 5.2 of [RFC8032]

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 5.2 of [RFC8032]

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      -  Recommended: Yes

   *  Name: Ed448ph-split

      -  Value: TBD (Requested Assignment -304)

      -  Description: Ed448ph split as defined in Section 2.2

      -  Capabilities: [kty]

      -  Change Controller: IETF

      -  Reference: Section 2.2 of this specification

      -  Recommended: Yes

5.2.  COSE Signing Arguments Common Parameters Registry

   TODO

5.3.  COSE Signing Arguments Algorithm Parameters Registry

   TODO

6.  Implementation Status

   This section is to be removed from the specification by the RFC
   Editor before publication as an RFC.

   There are currently two known implementations using features defined
   by this specification:

   *  wwWallet (https://github.com/wwWallet), an EU Digital Identity
      pilot project. wwWallet was entered into the "EUDI Wallet
      Prototypes" competition held by SprinD GmbH
      (https://www.sprind.org/en/actions/challenges/eudi-wallet-
      prototypes), and a branch of the wallet was submitted in the
      competition.  The competition entry implements ARKG
      [I-D.bradleylundberg-ARKG] for efficiently generating single-use
      hardware-bound holder binding keys.

      The implementation (https://github.com/gunet/funke-s3a-wallet-
      frontend/blob/stage-3/src/services/keystore.ts) uses the
      COSE_Key_Ref data structure defined in version 01 of this
      specification in order to send ARKG inputs to a WebAuthn
      authenticator, and uses the placeholder value for the experimental
      split algorithm identifier ESP256-split-ARKG defined in
      Section 5.2 of [I-D.bradleylundberg-ARKG] to negotiate creation

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      and usage of ARKG-derived keys for signing operations.  Thus
      wwWallet assumes the _digester_ role while the WebAuthn
      authenticator assumes the _signer_ role.

   *  Yubico (https://www.yubico.com/), a hardware security key vendor,
      has produced limited-availability prototypes of their YubiKey
      product with an ARKG implementation interoperable with wwWallet.
      The YubiKey implementation uses the COSE_Key_Ref data structure
      defined in version 01 of this specification to receive ARKG inputs
      from a WebAuthn Relying Party, and uses the placeholder value for
      the experimental split algorithm identifier ESP256-split-ARKG
      defined in Section 5.2 of [I-D.bradleylundberg-ARKG] to negotiate
      creation and usage of ARKG-derived keys for signing operations.
      Thus the YubiKey assumes the _signer_ role while the WebAuthn
      Relying Party assumes the _digester_ role.

   Table 4 summarizes implementation status for individual features.

   +===================+============================+==========+======+
   | Feature           | Defined by                 | Digester |Signer|
   +===================+============================+==========+======+
   | ESP256-split      | This specification         | -        |-     |
   +-------------------+----------------------------+----------+------+
   | ESP381-split      | This specification         | -        |-     |
   +-------------------+----------------------------+----------+------+
   | ESP512-split      | This specification         | -        |-     |
   +-------------------+----------------------------+----------+------+
   | Ed25519ph-split   | This specification         | -        |-     |
   +-------------------+----------------------------+----------+------+
   | Ed448ph-split     | This specification         | -        |-     |
   +-------------------+----------------------------+----------+------+
   | ESP256-split-ARKG | [I-D.bradleylundberg-ARKG] | wwWallet |Yubico|
   +-------------------+----------------------------+----------+------+
   | ESP381-split-ARKG | [I-D.bradleylundberg-ARKG] | -        |-     |
   +-------------------+----------------------------+----------+------+
   | ESP512-split-ARKG | [I-D.bradleylundberg-ARKG] | -        |-     |
   +-------------------+----------------------------+----------+------+
   | COSE_Sign_Args    | This specification         | wwWallet |Yubico|
   +-------------------+----------------------------+----------+------+

          Table 4: Implementation status of individual features.

6.1.  Dependent Specifications

   As indicated in the previous section, the Internet-Draft of ARKG
   [I-D.bradleylundberg-ARKG] extends this specification with
   definitions for ARKG:

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   *  Section "5.2 COSE algorithms" defines COSE algorithm identifiers
      ESP256-split-ARKG, ESP384-split-ARKG and ESP512-split-ARKG based
      on the ECDSA identifiers defined in this specification
      (Section 2.1).

   *  Section "5.3 COSE signing arguments" defines a representation for
      ARKG arguments using the COSE_Sign_Args data structure defined in
      this specification (Section 3).

7.  References

7.1.  Normative References

   [I-D.bradleylundberg-ARKG]
              Lundberg, E. and J. Bradley, "The Asynchronous Remote Key
              Generation (ARKG) algorithm", Work in Progress, Internet-
              Draft, draft-bradleylundberg-cfrg-arkg-09, 7 July 2025,
              <https://datatracker.ietf.org/doc/html/draft-
              bradleylundberg-cfrg-arkg-09>.

   [IANA.COSE]
              IANA, "CBOR Object Signing and Encryption (COSE)", n.d.,
              <https://www.iana.org/assignments/cose/>.

   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <https://www.rfc-editor.org/rfc/rfc2119>.

   [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>.

   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/rfc/rfc8174>.

   [RFC8610]  Birkholz, H., Vigano, C., and C. Bormann, "Concise Data
              Definition Language (CDDL): A Notational Convention to
              Express Concise Binary Object Representation (CBOR) and
              JSON Data Structures", RFC 8610, DOI 10.17487/RFC8610,
              June 2019, <https://www.rfc-editor.org/rfc/rfc8610>.

   [RFC9052]  Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Structures and Process", STD 96, RFC 9052,
              DOI 10.17487/RFC9052, August 2022,
              <https://www.rfc-editor.org/rfc/rfc9052>.

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   [RFC9864]  Jones, M.B. and O. Steele, "Fully-Specified Algorithms for
              JSON Object Signing and Encryption (JOSE) and CBOR Object
              Signing and Encryption (COSE)", RFC 9864,
              DOI 10.17487/RFC9864, October 2025,
              <https://www.rfc-editor.org/rfc/rfc9864>.

   [SEC1]     Certicom Research, "SEC 1: Elliptic Curve Cryptography",
              May 2009, <https://www.secg.org/sec1-v2.pdf>.

7.2.  Informative References

   [FIPS-186-5]
              National Institute of Standards and Technology, "Digital
              Signature Standard (DSS)", February 2023,
              <https://nvlpubs.nist.gov/nistpubs/FIPS/
              NIST.FIPS.186-5.pdf>.

   [FIPS-201] Ferraiolo, H., Mehta, K., Francomacaro, S., Chandramouli,
              R., and S. Gupta, "Interfaces for Personal Identity
              Verification: Part 2 – PIV Card Application Card Command
              Interface", NIST Special Publication (SP) NIST SP
              800-73pt2-5, 2024,
              <https://doi.org/10.6028/NIST.SP.800-73pt2-5>.

   [FIPS-204] National Institute of Standards and Technology, "Module-
              Lattice-Based Digital Signature Standard", August 2024,
              <https://nvlpubs.nist.gov/nistpubs/FIPS/
              NIST.FIPS.204.pdf>.

   [I-D.COSE-Hash-Envelope]
              Steele, O., Lasker, S., and H. Birkholz, "COSE Hash
              Envelope", Work in Progress, Internet-Draft, draft-ietf-
              cose-hash-envelope-10, 15 November 2025,
              <https://datatracker.ietf.org/doc/html/draft-ietf-cose-
              hash-envelope-10>.

   [OPENPGPCARD]
              Pietig, A., "Functional Specification of the OpenPGP
              application on ISO Smart Card Operating Systems", Version
              3.4.1, March 2020, <https://gnupg.org/ftp/specs/OpenPGP-
              smart-card-application-3.4.1.pdf>.

   [PKCS11-Spec-v3.1]
              Bong, D. and T. Cox, "PKCS #11 Specification Version
              3.1.", OASIS Standard, 23 July 2023, <https://docs.oasis-
              open.org/pkcs11/pkcs11-spec/v3.1/os/pkcs11-spec-
              v3.1-os.html>.  Latest stage:
              https://docs.oasis-open.org/pkcs11/pkcs11-spec/v3.1/

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              pkcs11-spec-v3.1.html
              (https://docs.oasis-open.org/pkcs11/pkcs11- spec/v3.1/
              pkcs11-spec-v3.1.html).

   [RFC9380]  Faz-Hernandez, A., Scott, S., Sullivan, N., Wahby, R. S.,
              and C. A. Wood, "Hashing to Elliptic Curves", RFC 9380,
              DOI 10.17487/RFC9380, August 2023,
              <https://www.rfc-editor.org/rfc/rfc9380>.

   [SECDSA]   Verheul, E., "SECDSA: Mobile signing and authentication
              under classical "sole control"", July 2021,
              <https://eprint.iacr.org/2021/910>.

Document History

   -04

   *  Added Implementation Status section.

   -03

   *  Updated reference to ARKG parameter info renamed to ctx.

   *  Refined abstract and introduction to emphasize that the central
      novelty is not split algorithms as a concept, but providing COSE
      algorithm identifiers for use cases that benefit from such
      splitting.

   *  Replaced reference to draft-ietf-jose-fully-specified-algorithms
      with RFC 9864.

   *  Added inline definitions of Ed25519ph and Ed448ph registrations,
      replacing speculative references to registrations that do not
      exist elsewhere.

   *  Added missing captions to Tables 1 and 2.

   *  Added Security Considerations section.

   -02

   *  Renamed document from "COSE Algorithms for Two-Party Signing" to
      "Split signing algorithms for COSE" and updated introduction and
      terminology accordingly.

   *  Dropped definitions for HashML-DSA, as split variants of ML-DSA
      are being actively discussed in other IETF groups.

Lundberg & Jones           Expires 28 May 2026                 [Page 16]
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   *  Changed "Base algorithm" heading in definition tables to
      "Verification algorithm".

   *  Remodeled COSE_Key_Ref as COSE_Sign_Args.

      -  Dropped definitions of reference types for COSE Key Types
         registry.

   -01

   *  Added IANA registration requests for algorithms defined.

   *  Updated references and other editorial tweaks.

   -00

   *  Initial individual draft

Authors' Addresses

   Emil Lundberg (editor)
   Yubico
   Gävlegatan 22
   Stockholm
   Sweden
   Email: emil@emlun.se

   Michael B. Jones
   Self-Issued Consulting
   United States
   Email: michael_b_jones@hotmail.com
   URI:   https://self-issued.info/

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