Internet-Draft jose-cose-dilithium October 2024
Prorock, et al. Expires 23 April 2025 [Page]
Workgroup:
CBOR Object Signing and Encryption
Internet-Draft:
draft-ietf-cose-dilithium-04
Published:
Intended Status:
Standards Track
Expires:
Authors:
M. Prorock
mesur.io
O. Steele
Transmute
R. Misoczki
Google
M. Osborne
IBM
C. Cloostermans
NXP

ML-DSA for JOSE and COSE

Abstract

This document describes JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) serializations for Module-Lattice-Based Digital Signature Standard (ML-DSA), which was derived from Dilithium, a Post-Quantum Cryptography (PQC) based digital signature scheme.

This document does not define any new cryptography, only seralizations of existing cryptographic systems described in [FIPS-204].

Note to RFC Editor: This document should not proceed to AUTH48 until NIST completes paramater tuning and selection as a part of the PQC standardization process.

About This Document

This note is to be removed before publishing as an RFC.

The latest revision of this draft can be found at https://cose-wg.github.io/draft-ietf-cose-dilithium/draft-ietf-cose-dilithium.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-cose-dilithium/.

Discussion of this document takes place on the CBOR Object Signing and Encryption Working Group mailing list (mailto:[email protected]), 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/cose-wg/draft-ietf-cose-dilithium.

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/.

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 23 April 2025.

Table of Contents

1. Introduction

This document describes how to use ML-DSA keys and signatures as described in [FIPS-204] with JOSE and COSE. To reduce implementation burden, the key type and thumbprint computations for ML-DSA are generic, and suitable for use with other algorithms such as SLH-DSA as described in [I-D.draft-ietf-cose-sphincs-plus].

2. Terminology

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.

3. ML-DSA Algorithms

The ML-DSA Signature Scheme is paramaterized to support different security levels.

This document requests the registration of the following algorithms in [IANA.jose]:

Table 1: JOSE algorithms for ML-DSA
Name alg Description
ML-DSA-44 ML-DSA-44 JSON Web Signature Algorithm for ML-DSA-44
ML-DSA-65 ML-DSA-65 JSON Web Signature Algorithm for ML-DSA-65
ML-DSA-87 ML-DSA-87 JSON Web Signature Algorithm for ML-DSA-87

This document requests the registration of the following algorithms in [IANA.cose]:

Table 2: COSE algorithms for ML-DSA
Name alg Description
ML-DSA-44 TBD (requested assignment -48) CBOR Object Signing Algorithm for ML-DSA-44
ML-DSA-65 TBD (requested assignment -49) CBOR Object Signing Algorithm for ML-DSA-65
ML-DSA-87 TBD (requested assignment -50) CBOR Object Signing Algorithm for ML-DSA-87

4. Algorithm Key Pair Type

The Algorithm Key Pair (AKP) Type is used to express Public and Private Keys for use with Algorithms. When this key type is used the "alg" JSON Web Key Parameter or COSE Key Common Parameter is REQUIRED.

This document requests the registration of the following key types in [IANA.jose]:

Table 3: Algorithm Key Pair Type for JOSE
Name kty Description
Algorithm Key Pair AKP JSON Web Key Type for the Algorithm Key Pair.
{
   "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o",
   "kty": "AKP",
   "alg": "ML-DSA-44",
   "pub": "unH59k4Ru...DZgbTP07e7gEWzw4MFRrndjbDQ",
   "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
}
Figure 1: The all zeros ML-DSA-44 JSON Web Key

This document requests the registration of the following algorithms in [IANA.cose]:

Table 4: Algorithm Key Pair Type for COSE
Name kty Description
AKP TBD (requested assignment 7) COSE Key Type for the Algorithm Key Pair.
{
   / kid /   2: h'b8969ab4b37da9f068...6f0583bf5b8d3a8059a',
   / kty /   1: 7, / AKP /
   / alg /   3: -48, / ML-DSA-44 /
   / pub  / -1: h'ba71f9f64e11baeb58...c3830546b9dd8db0d',
   / priv / -2: h'00000000000000...0000000000000000'
}
Figure 2: The all zeros ML-DSA-44 COSE Key

5. ML-DSA Private Keys

Note that FIPS 204 defines 2 expressions for private keys, a seed, and a private key that is expanded from the seed. For the algorithms defined in this document, the private key is always the seed, and never the expanded expression. The AKP Key Type MAY be used with algorithms not defined in this specification, and those algorithms MAY encode their private keys differently.

6. AKP Thumbprints

When computing the COSE Key Thumbprint as described in [I-D.draft-ietf-cose-key-thumbprint], the required parameters for algorithm key pairs are:

The COSE Key Thumbprint is produced according to the process described in Section 3 of [I-D.draft-ietf-cose-key-thumbprint].

When computing the JWK Thumbprint as described in [RFC7638], the required parameters for algorithm key pairs are:

Their lexicographic order, per Section 3.3 of [RFC7638], is:

The JWK Key Thumbprint is produced according to the process described in Section 3 of [RFC7638].

See the kid values in the JSON Web Key and COSE Key examples in the appendix for examples of AKP thumbprints.

7. Security Considerations

The security considerations of [RFC7515], [RFC7517] and [RFC9053] applies to this specification as well.

A detailed security analysis of ML-DSA is beyond the scope of this specification, see [FIPS-204] for additional details.

8. IANA Considerations

8.1. Additions to Existing Registries

8.1.1. New COSE Algorithms

IANA is requested to add the following entries to the COSE Algorithms Registry. The following completed registration templates are provided as described in RFC9053 and RFC9054.

8.1.1.1. ML-DSA-44
  • Name: ML-DSA-44

  • Value: TBD (requested assignment -48)

  • Description: CBOR Object Signing Algorithm for ML-DSA-44

  • Capabilities: [kty]

  • Reference: RFC XXXX

  • Recommended: Yes

8.1.1.2. ML-DSA-65
  • Name: ML-DSA-65

  • Value: TBD (requested assignment -49)

  • Description: CBOR Object Signing Algorithm for ML-DSA-65

  • Capabilities: [kty]

  • Reference: RFC XXXX

  • Recommended: Yes

8.1.1.3. ML-DSA-87
  • Name: ML-DSA-87

  • Value: TBD (requested assignment -50)

  • Description: CBOR Object Signing Algorithm for ML-DSA-87

  • Capabilities: [kty]

  • Reference: RFC XXXX

  • Recommended: Yes

8.1.2. New COSE Key Types

IANA is requested to add the following entries to the COSE Key Types Registry. The following completed registration templates are provided as described in RFC9053.

8.1.2.1. AKP
  • Name: AKP

  • Value: TBD (requested assignment 7)

  • Description: COSE Key Type for Algorithm Key Pairs

  • Capabilities: [kty(7)]

  • Reference: RFC XXXX

8.1.3. New COSE Key Type Parameters

IANA is requested to add the following entries to the COSE Key Type Parameters. The following completed registration templates are provided as described in RFC9053.

8.1.4. ML-DSA Public Key

  • Key Type: TBD (requested assignment 7)

  • Name: public_key

  • Label: -1

  • CBOR Type: bstr

  • Description: Public key

  • Reference: RFC XXXX

8.1.5. ML-DSA Private Key

  • Key Type: TBD (requested assignment 7)

  • Name: private_key

  • Label: -2

  • CBOR Type: bstr

  • Description: Private key or seed used to derive a private key.

  • Reference: RFC XXXX

8.1.6. New JOSE Algorithms

IANA is requested to add the following entries to the JSON Web Signature and Encryption Algorithms Registry. The following completed registration templates are provided as described in RFC7518.

8.1.6.1. ML-DSA-44
  • Algorithm Name: ML-DSA-44

  • Algorithm Description: ML-DSA-44 as described in FIPS 204.

  • Algorithm Usage Location(s): alg

  • JOSE Implementation Requirements: Optional

  • Change Controller: IETF

  • Value registry: [IANA.jose] Algorithms

  • Specification Document(s): RFC XXXX

  • Algorithm Analysis Documents(s): [FIPS-204]

8.1.6.2. ML-DSA-65
  • Algorithm Name: ML-DSA-65

  • Algorithm Description: ML-DSA-65 as described in FIPS 204.

  • Algorithm Usage Location(s): alg

  • JOSE Implementation Requirements: Optional

  • Change Controller: IETF

  • Value registry: [IANA.jose] Algorithms

  • Specification Document(s): RFC XXXX

  • Algorithm Analysis Documents(s): [FIPS-204]

8.1.6.3. ML-DSA-87
  • Algorithm Name: ML-DSA-87

  • Algorithm Description: ML-DSA-87 as described in FIPS 204.

  • Algorithm Usage Location(s): alg

  • JOSE Implementation Requirements: Optional

  • Change Controller: IETF

  • Value registry: [IANA.jose] Algorithms

  • Specification Document(s): RFC XXXX

  • Algorithm Analysis Documents(s): [FIPS-204]

8.1.7. New JOSE Key Types

IANA is requested to add the following entries to the JSON Web Key Types Registry. The following completed registration templates are provided as described in RFC7518 RFC7638.

8.1.7.1. AKP
  • "kty" Parameter Value: AKP

  • Key Type Description: Algorithm Key Pair

  • JOSE Implementation Requirements: Optional

  • Change Controller: IETF

  • Specification Document(s): RFC XXXX

8.1.8. New JSON Web Key Parameters

IANA is requested to add the following entries to the JSON Web Key Parameters Registry. The following completed registration templates are provided as described in RFC7517, and RFC7638.

8.1.8.1. AKP Public Key
  • Parameter Name: pub

  • Parameter Description: Public key

  • Used with "kty" Value(s): AKP

  • Parameter Information Class: Public

  • Change Controller: IETF

  • Specification Document(s): RFC XXXX

8.1.8.2. AKP Private Key
  • Parameter Name: priv

  • Parameter Description: Private key or seed used to derive a private key.

  • Used with "kty" Value(s): AKP

  • Parameter Information Class: Private

  • Change Controller: IETF

  • Specification Document(s): RFC XXXX

9. References

9.1. Normative References

[I-D.draft-ietf-cose-key-thumbprint]
Isobe, K., Tschofenig, H., and O. Steele, "CBOR Object Signing and Encryption (COSE) Key Thumbprint", Work in Progress, Internet-Draft, draft-ietf-cose-key-thumbprint-06, , <https://datatracker.ietf.org/doc/html/draft-ietf-cose-key-thumbprint-06>.
[I-D.draft-ietf-cose-sphincs-plus]
Prorock, M., Steele, O., Misoczki, R., Osborne, M., and C. Cloostermans, "SLH-DSA for JOSE and COSE", Work in Progress, Internet-Draft, draft-ietf-cose-sphincs-plus-04, , <https://datatracker.ietf.org/doc/html/draft-ietf-cose-sphincs-plus-04>.
[IANA.cose]
IANA, "CBOR Object Signing and Encryption (COSE)", <https://www.iana.org/assignments/cose>.
[IANA.jose]
IANA, "JSON Object Signing and Encryption (JOSE)", <https://www.iana.org/assignments/jose>.
[RFC2119]
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <https://www.rfc-editor.org/rfc/rfc2119>.
[RFC7515]
Jones, M., Bradley, J., and N. Sakimura, "JSON Web Signature (JWS)", RFC 7515, DOI 10.17487/RFC7515, , <https://www.rfc-editor.org/rfc/rfc7515>.
[RFC7517]
Jones, M., "JSON Web Key (JWK)", RFC 7517, DOI 10.17487/RFC7517, , <https://www.rfc-editor.org/rfc/rfc7517>.
[RFC7638]
Jones, M. and N. Sakimura, "JSON Web Key (JWK) Thumbprint", RFC 7638, DOI 10.17487/RFC7638, , <https://www.rfc-editor.org/rfc/rfc7638>.
[RFC8174]
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, , <https://www.rfc-editor.org/rfc/rfc8174>.
[RFC9053]
Schaad, J., "CBOR Object Signing and Encryption (COSE): Initial Algorithms", RFC 9053, DOI 10.17487/RFC9053, , <https://www.rfc-editor.org/rfc/rfc9053>.

9.2. Informative References

[FIPS-204]
"Module-Lattice-Based Digital Signature Standard", n.d., <https://doi.org/10.6028/NIST.FIPS.204>.
[NIST-PQC-2022]
"Selected Algorithms 2022", n.d., <https://csrc.nist.gov/Projects/post-quantum-cryptography/selected-algorithms-2022>.

Appendix A. Examples

A.1. JOSE

{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o",
    "kty": "AKP",
    "alg": "ML-DSA-44",
    "pub": "unH59k4RuutY-pxvu24U5h8YZD2rSVtHU5qRZsoBmBMcRPgmu9VuNOVdteXi1zNIXjnqJg_GAAxepLqA00Vc3lO0bzRIKu39VFD8Lhuk8l0V-cFEJC-zm7UihxiQMMUEmOFxe3x1ixkKZ0jqmqP3rKryx8tSbtcXyfea64QhT6XNje2SoMP6FViBDxLHBQo2dwjRls0k5a-XSQSu2OTOiHLoaWsLe8pQ5FLNfTDqmkrawDEdZyxr3oSWJAsHQxRjcIiVzZuvwxYy1zl2STiP2vy_fTBaPemkleynQzqPg7oPCyXEE8bjnJbrfWkbNNN8438e6tHPIX4l7zTuzz98YPhLjt_d6EBdT4MldsYe-Y4KLyjaGHcAlTkk9oa5RhRwW89T0z_t1DSO3dvfKLUGXh8gd1BD6Fz5MfgpF5NjoafnQEqDjsAAhrCXY4b-Y3yYJEdX4_dp3dRGdHG_rWcPmgX4JG7lCnser4f8QGnDriqiAzJYEXeS8LzUngg_0bx0lqv_KcyU5IaLISFO0xZSU5mmEPvdSoDnyAcV8pV44qhLtAvd29n0ehG259oRihtljTWeiu9V60a1N2tbZVl5mEqSK-6_xZvNYA1TCdzNctvweH24unV7U3wer9XA9Q6kvJWDVJ4oKaQsKMrCSMlteBJMRxWbGK7ddUq6F7GdQw-3j2M-qdJvVKm9UPjY9rc1lPgol25-oJxTu7nxGlbJUH-4m5pevAN6NyZ6lfhbjWTKlxkrEKZvQXs_Yf6cpXEwpI_ZJeriq1UC1XHIpRkDwdOY9MH3an4RdDl2r9vGl_IwlKPNdh_5aF3jLgn7PCit1FNJAwC8fIncAXgAlgcXIpRXdfJk4bBiO89GGccSyDh2EgXYdpG3XvNgGWy7npuSoNTE7WIyblAk13UQuO4sdCbMIuriCdyfE73mvwj15xgb07RZRQtFGlFTmnFcIdZ90zDrWXDbANntv7KCKwNvoTuv64bY3HiGbj-NQ-U9eMylWVpvr4hrXcES8c9K3PqHWADZC0iIOvlzFv4VBoc_wVflcOrL_SIoaNFCNBAZZq-2v5lAgpJTqVOtqJ_HVraoSfcKy5g45p-qULunXj6Jwq21fobQiKubBKKOZwcJFyJD7F4ACKXOrz-HIvSHMCWW_9dVrRuCpJw0s0aVFbRqopDNhu446nqb4_EDYQM1tTHMozPd_jKxRRD0sH75X8ZoToxFSpLBDbtdWcenxj-zBf6IGWfZnmaetjKEBYJWC7QDQx1A91pJVJCEgieCkoIfTqkeQuePpIyu48g2FG3P1zjRF-kumhUTfSjo5qS0YiZQy0E1BMs6M11EvuxXRsHClLHoy5nLYI2Sj4zjVjYyxSHyPRPGGo9hwB34yWxzYNtPPGiqXS_dNCpi_zRZwRY4lCGrQ-hYTEWIK1Dm5OlttvC4_eiQ1dv63NiGkLRJ5kJA3bICN0fzCDY-MBqnd1cWn8YVBijVkgtaoascjL9EywDgJdeHnXK0eeOvUxHHhXJVkNqcibn8O4RQdpVU60TSA-uiu675ytIjcBHC6kTv8A8pmkj_4oypPd-F92YIJC741swkYQoeIHj8rE-ThcMUkF7KqC5VORbZTRp8HsZSqgiJcIPaouuxd1-8Rxrid3fXkE6p8bkrysPYoxWEJgh7ZFsRCPDWX-yTeJwFN0PKFP1j0F6YtlLfK5wv-c4F8ZQHA_-yc_gODicy7KmWDZgbTP07e7gEWzw4MFRrndjbDQ",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
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}
Figure 3: ML_DSA_44
{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "Suiu29qbfuaBaR4Ats-c6XQBePB_OpAxAwcTR_0KXVM",
    "kty": "AKP",
    "alg": "ML-DSA-65",
    "pub": "QksvJn5Y1bO0TXGs_Gpla7JpUNV8YdsciAvPof6rRD8JQquL2619cIq7w1YHj22ZolInH-YsdAkeuUr7m5JkxQqIjg3-2AzV-yy9NmfmDVOevkSTAhnNT67RXbs0VaJkgCufSbzkLudVD-_91GQqVa3mk4aKRgy-wD9PyZpOMLzP-opHXlOVOWZ067galJN1h4gPbb0nvxxPWp7kPN2LDlOzt_tJxzrfvC1PjFQwNSDCm_l-Ju5X2zQtlXyJOTZSLQlCtB2C7jdyoAVwrftUXBFDkisElvgmoKlwBks23fU0tfjhwc0LVWXqhGtFQx8GGBQ-zol3e7P2EXmtIClf4KbgYq5u7Lwu848qwaItyTt7EmM2IjxVth64wHlVQruy3GXnIurcaGb_qWg764qZmteoPl5uAWwuTDX292Sa071S7GfsHFxue5lydxIYvpVUu6dyfwuExEubCovYMfz_LJd5zNTKMMatdbBJg-Qd6JPuXznqc1UYC3CccEXCLTOgg_auB6EUdG0b_cy-5bkEOHm7Wi4SDipGNig_ShzUkkot5qSqPZnd2I9IqqToi_0ep2nYLBB3ny3teW21Qpccoom3aGPt5Zl7fpzhg7Q8zsJ4sQ2SuHRCzgQ1uxYlFx21VUtHAjnFDSoMOkGyo4gH2wcLR7-z59EPPNl51pljyNefgCnMSkjrBPyz1wiET-uqi23f8Bq2TVk1jmUFxOwdfLsU7SIS30WOzvwD_gMDexUFpMlEQyL1-Y36kaTLjEWGCi2tx1FTULttQx5JpryPW6lW5oKw5RMyGpfRliYCiRyQePYqipZGoxOHpvCWhCZIN4meDY7H0RxWWQEpiyCzRQgWkOtMViwao6Jb7wZWbLNMebwLJeQJXWunk-gTEeQaMykVJobwDUiX-E_E7fSybVRTZXherY1jrvZKh8C5Gi5VADg5Vs319uN8-dVILRyOOlvjjxclmsRcn6HEvTvxd9MS7lKm2gI8BXIqhzgnTdqNGwTpmDHPV8hygqJWxWXCltBSSgY6OkGkioMAmXjZjYq_Ya9o6AE7WU_hUdm-wZmQLExwtJWEIBdDxrUxA9L9JL3weNyQtaGItPjXcheZiNBBbJTUxXwIYLnXtT1M0mHzMqGFFWXVKsN_AIdHyv4yDzY9m-tuQRfbQ_2K7r5eDOL1Tj8DZ-s8yXG74MMBqOUvlglJNgNcbuPKLRPbSDoN0E3BYkfeDgiUrXy34a5-vU-PkAWCsgAh539wJUUBxqw90V1Du7eTHFKDJEMSFYwusbPhEX4ZTwoeTHg--8Ysn4HCFWLQ00pfBCteqvMvMflcWwVfTnogcPsJb1bEFVSc3nTzhk6Ln8J-MplyS0Y5mGBEtVko_WlyeFsoDCWj4hqrgU7L-ww8vsCRSQfskH8lodiLzj0xmugiKjWUXbYq98x1zSnB9dmPy5P3UNwwMQdpebtR38N9I-jup4Bzok0-JsaOe7EORZ8ld7kAgDWa4K7BAxjc2eD540Apwxs-VLGFVkXbQgYYeDNG2tW1Xt20-XezJqZVUl6-IZXsqc7DijwNInO3fT5o8ZAcLKUUlzSlEXe8sIlHaxjLoJ-oubRtlKKUbzWOHeyxmYZSxYqQhSQj4sheedGXJEYWJ-Y5DRqB-xpy-cftxL10fdXIUhe1hWFBAoQU3b5xRY8KCytYnfLhsFF4O49xhnax3vuumLpJbCqTXpLureoKg5PvWfnpFPB0P-ZWQN35mBzqbb3ZV6U0rU55DvyXTuiZOK2Z1TxbaAd1OZMmg0cpuzewgueV-Nh_UubIqNto5RXCd7vqgqdXDUKAiWyYegYIkD4wbGMqIjxV8Oo2ggOcSj9UQPS1rD5u0rLckAzsxyty9Q5JsmKa0w8Eh7Jwe4Yob4xPVWWbJfm916avRgzDxXo5gmY7txdGFYHhlolJKdhBU9h6f0gtKEtbiUzhp4IWsqAR8riHQs7lLVEz6P537a4kL1r5FjfDf_yjJDBQmy_kdWMDqaNln-MlKK8eENjUO-qZGy0Ql4bMZtNbHXjfJUuSzapA-RqYfkqSLKgQUOW8NTDKhUk73yqCU3TQqDEKaGAoTsPscyMm7u_8QrvUK8kbc-XnxrWZ0BZJBjdinzh2w-QvjbWQ5mqFp4OMgY94__tIU8vvCUNJiYA1RdyodlfPfH5-avpxOCvBD6C7ZIDyQ-6huGEQEAb6DP8ydWIZQ8xY603DoEKKXkJWcP6CJo3nHFEdj_vcEbDQ-WESDpcQFa1fRIiGuALj-sEWcjGdSHyE8QATOcuWl4TLVzRPKAf4tCXx1zyvhJbXQu0jf0yfzVpOhPun4n-xqK4SxPBCeuJOkQ2VG9jDXWH4pnjbAcrqjveJqVti7huMXTLGuqU2uoihBw6mGqu_WSlOP2-XTEyRyvxbv2t-z9V6GPt1V9ceBukA0oGwtJqgD-q7NXFK8zhw7desI5PZMXf3nuVgbJ3xdvAlzkmm5f9RoqQS6_hqwPQEcclq1MEZ3yML5hc99TDtZWy9gGkhR0Hs3QJxxgP7bEqGFP-HjTPnJsrGaT6TjKP7qCxJlcFKLUr5AU_kxMULeUysWWtSGJ9mpxBvsyW1Juo",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
  "jws": "eyJhbGciOiJNTC1EU0EtNjUiLCJraWQiOiJTdWl1MjlxYmZ1YUJhUjRBdHMtYzZYUUJlUEJfT3BBeEF3Y1RSXzBLWFZNIn0.SXTigJlzIGEgZGFuZ2Vyb3VzIGJ1c2luZXNzLCBGcm9kbywgZ29pbmcgb3V0IHlvdXIgZG9vci4.zmO9_0bLgJAegoVNymfRo4nGPK5lVtSFGnDbzfzYAD5mUEXpaBUg4itvZ8rAUZi4HLb59QqDQSBSpMXC0axajXOMV_YttfmwGgC6FMyaMRZkx-A92bGiNLutqX9jcwRLJqXjMkUGhz2YpHe_mV9QpxokRCH9K6jkyFZp4hZIwFXhRt1z0OGIa5rOoHKsxOCAUZhTXKiASb3vk9lUASW0-Y58WKT4rVmst7_dvk7FVbe9A9I21IH-Tqlg1zSMoI8ozh1aBSG92uPursBd5KRcOlJwhNUYJDgHScIHXM6Hzk6u98W5orKPHu1rDIK7rHJI4Zrui4wBjmQLsPE01LcZHRx4zexDCTMCGSojbL1FiT9CU3oUep4oWOytTEAf2eCi3qDD0iSrp5IslCueoNjtGOFSnUKlsnCeiZF-tNqTy1KpJ3ErTaNPcCzCvsEalhJwFa7NOWyQOEJUzcLaPY_VEFwcCX1Gk4bEI-1rLDiyZqkXgny-U2oRnll0d3u-e2S_Rg-_eL1H_XEbPs_km-822G7JY9li4muZ5KVvfQf_5hza1V4GweqvmeWuZL1gBU2HPS7x1tWL798ALOk1rMnxsvBOPiSLxAEdPoIuw0_qMlKjTavJcDFaihgCgGMUk5SjU65IWQS9t4rgxv9Idu0OCsozo9iCBqrVcnaOwUpkMhV6KeiXA7kQNcegVaMio40cjSyMiEkhGIOEOf8L6eohOh_bPPRYs-8NrZ-VOBJCa0ubJcDU1cTuGNCa7nWWxAqfVjcMyNDx9XHBYBnSOcFNfMP7S9nvqw3KC50U_t2PH5SfwS9w4DLvcgrlEP_gwSgOXuf-i0tRGLQly3IMB7O8QOnkofyFaCUDZeurFkGTpoBfT6lzbJznQAMIDPNcWUsRlNTXsH7atC1nxl4xDJLmmPLCxiErfxbCW5gMWox0kLDwfsFj57hsXG75cZ4jiBbq9b0VjD7Vkf8xlc06ExdzBhGXz8oJiaT5WHDsuzGtrFmh6diN1cO4Cxjr6KdNE8IlyxsfXxQ4AI-0ke3gMyi0DOGeHgHuNc-JHD7oZ6njUMSTBkR1aUMNT7n_2nfFTDCdqW1HaMsMwIHfLOk6dayKXE1oMqY5Op8S5k_SAaknR0vNxmhlTA5h3bZJ28NZxM6R7D00_eBEYrH20rmRP7G7kXKzLvmWeaKAh4oQHiqjVhgauiePDRiMmjx0OhdQnMCtO8PWbx06SiviRn_5hswdVV08B48MVHqbM2AxCLLJYinC2Ep0302Uo0DI-rTNZ1Znn58kM7VCskcxDLsH9AYvPz-HQr3H7Xg0ElwjYn-jJXgZ_cdnLFt4_TuKQdpw_qhvyrNjOx0Mdc-1PrwoWqpA9sSv_pS5lwI2qNVHI2Vj2mZHByod1QUeOQExf3SBjP_FHEAUzUu1OK8M-1SQZGzJT2su3a6ZnMnp0U5qdXyMONFoI2jJ2hDjt7QEQsLx-rvaLxZMJtc2z0MHdwJGAC_kug7XjH3SWQZzBu7zzreIaSwr2A2oobeZiAydwb8LX2QsY9Jr_NphGAMAqzrpkuaMyBd_pFTKMp9s0GYxwyG1ZD9uRuPI9imA4CS7bt-O8YvbWg6eQ-qa9OqDlxNt3Xc32TniQFVxVxN6PDY33XXU-Rpvd1w47NZ48nkyJzjD8Xlbvk9p2ynxWHr-Sto5HXZdru4j8ETUW7ri3mEG1m_dxAbAe2kVbsBp2I1vQppugbmRexuMRLdYFIKqNm0qpQoWTr_k2t5KHnWolrSbFH7Usm8Pwyi4sNhh4_yRHADO2q2o19zCCx2plDSMeYI74CQPRGLlK_GLM4E5Bzfny3E2eaE5_gQBTSGNHpQtJB0ipPwDjqsjDCXqXupCkRta1vxng4coi2-vWYvKu6mq9HhdovHAaWrZRyvuPPI4ZDN_NkmfQR8HogR6NLVhLlRp1cwMArSSDA3f8QlnjdbaeutxRXvFnCCjBk79ws8VGdWAuRmIWgoEFeVAVxkJjJ07zOW8I3kNfB6pnxsZmJwWAGqWc1UlPmkNBstmSXinAzbdl-W-kn1XRDuhzTafHnkCbKS5XgJKsWD2FrhcnCaxxRxuxIGxijofjD4ihmJoYDFh1FYs9IcC-szEfMSekanWOIZCHd1fVzTSbLr5bNaOXR2sO1muFX7w22m8pBVD3fyOHK2JnK4FBCnEBrruMIDaqqu8Z4xesAHKfxY67w-25eUuvVCGL3xpXSyp90684ICkG4STztP1shLVsxKDA-37sKKplqemERlMPY4vDM1Np8JlVawbSGIuom20g6p2KV_zpIPwx9vd1nAiaeZbryf3N5gtL-dOq-c6uZhTCx9OLBtLGE3BcAmn5JFjMGQFxyTL07BluNu24Kf-lttGj9jzbwPZYrok-SnMilXGFEqB3D3cKCOlWjsgg_3cUW1uMp4KlWQvkimV9Pd7cY70w607jcYBJ3MlFZ8EeWeYPZ9qu6xwidA8XlLHxXxfLIJOgfpU8MTppfxdnMhqNSvH_Hx57oDphbUks5K1Z8-O4dSnNqQ-ZWbhaAydYQFDKuUF6HYTAvaWhJmACxhTkTp2t6-P3bev-FcdFIdszJC9LxWtJ96LY_GV4Qvp0hiIdyP1BukWNHtsXK2Rxres3_4Cndg2BOGxVcKZ9YpQDCUy76GRbTCenqjD-SG5sVUEVha5yxbKArPr2-Xpgk8cuZBRSAdmPNRdxCgUtldfCLeL7xhJvryMouxfQ75PMBaImHcsMd95075ePt_VkClUaUj55Y9E81FbOEchPfud2w3TtSvRPvB8-RgY8sLJUAclxcUGE4PnKSZJ7TIBUtHD6uyZ0-nC5KGxbXZsBEzUeHns4ix0Wmo6-6vAM4PGK3qRA1VAhtKXyvNcAfVccVi8KJMK9Mz2eIOXPATvyRy34Ltrcg8tcgK0ftYqEWYpAZ2fVpZBXcYfTIinuLN0-qLra388EZuu59jvmRD7mUv1msMWVMGVeBoNP3lJaJGGWK8iYyu4q7Grq-6WXr5qCz_7kwAtVJdb-zW8U3jLJ3tRSYlyjlpzeVAGjDQ6Yni5y9x4BF-5QUqcoGMLLglyx2WOCELT8IW7nsV21QnqqAbtCzZ76UtEdmUuEOTyqiKQZ0lrjMRm3YrCvJKxtR5thhTRka708NzBvwSRs-JxGG__EWjHhT-aB4VL3IL_oz3mt3iQoszfA-SzHcKU1laZMBuUCyxks6KiJgQGZRPXyaxxDtqZdaRP8Ic5CmuPeyu3kafi0L6LFijsUxnSGxTpgu7hfvcmowQijfE9_ylvg8k_EbI2miG11giODVCYb7k9Yjyriwc9dSUUZ7XoiS24hWYUX6BGGQNN3wVHPkDkOVSDBYTjto99ulquryx4K_UMCu9sQVNxBfMh8tLN7O9-MXlnJbHfKfqFHiPGdIYOBpwuqJdAJiyiuSG3gJxMG_wuwNkBWoO--iOm6PIarCyvL8_P-tuUfT4zIgjJJ3o6YJhbo-q2K82ZFmHuILyzfDSGtHDZpZIR7XnRQWet90cJEHL5k653kvyEHJg0iUiE0iwNA5d_4gBq3vmw1J74hwAHx0Z_iYEcPS6hDGow8M8D7UJTZDkUV_86zj2YqGm_QC_aAeD__NP6sa61bI9-gTOzvYc0JiExKTDjOK9fIvHaV-HN4xr2vWner8o6jPyETvGM8D7aEezlUVOEFwALmhJPSMAq_Fk9JlcIUuC-ITJZNtNz9Awfiru3wkPja1bXN76WAuRHjia0x5ptgMCy2py_vSHZybfIS85ZjsOQ-i_e_niBzhyzXwzBaLEyEitbF4ZQx5c88lXKDMpe9tirAI6XAcqLf4UZkD8Wm2YV7hhVfxLQ1AWLekWE9DZljCtE-SbS1EWNGR8faXKCvaZznRyoqdWz8IN3w7KvaA_ZrEKkIXkkreztG6pI06DlDHCl_sU6rCOoyQf6y1AY77Ob4SdkSRoBHGgR6Uv-LrxHpyJ6trzccu0kqxubHrkW2yHcqe6enVf43zYwWKUeJJZ10bt3a92ziSne-3aj6v3guiKoJoLnV_9h8rUF6zorTWE-Tq58tYfb5SmGf4iCJ5cy9LTY0COIfwJtPkUmyBCZwUhWJnV24P5pOZPe_CckQ28xv5J7Zf4Bvqrq_rhubFEhTJ5JvdMfz8Whc56WSHX7GRKEMqXVp3pHohBvOyT9BmotzIlibVklJy4gzkzUcjJJOld-BOaM_cnMiHpoyKXSJAXTNwXngzEpbvDP2Y0fnrgqDpO3RR3gINaZLRmeG0WI4wWBMMfw8PHjpyV17C_1hmfRI-darbZcX7PD3N4Rw4lBACyk_wnOHBcAS-5cLZEzNmFmhc4iO4msz_seQ1N0drbB0NoUVWBmcY3pGC9TiY6f6Pn-FBUnQkuBhIyPtgAAAAAAAAAABgwVHCUv",
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}
Figure 4: ML_DSA_65
{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "tRn1JNIkgMsABVQBlXeDHxAIcclh-2IX0UdDEzPt5XU",
    "kty": "AKP",
    "alg": "ML-DSA-87",
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    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
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}
Figure 5: ML_DSA_87

A.2. COSE

{
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Figure 6: ML_DSA_44
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}
Figure 7: ML_DSA_65
{
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}
Figure 8: ML_DSA_87

Acknowledgments

We would like to thank Simo Sorce, Ilari Liusvaara, Neil Madden, Anders Rundgren, David Waite, and Russ Housley for their review feedback.

Authors' Addresses

Michael Prorock
mesur.io
Orie Steele
Transmute
Rafael Misoczki
Google
Michael Osborne
IBM
Christine Cloostermans
NXP