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FN-DSA for JOSE and COSE
draft-ietf-cose-falcon-03

Document Type Active Internet-Draft (cose WG)
Authors Michael Prorock , Orie Steele , Hannes Tschofenig
Last updated 2025-10-12
Replaces draft-ietf-cose-post-quantum-signatures
RFC stream Internet Engineering Task Force (IETF)
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Jan 2026
One or more documents describing the proper use of algorithms.
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draft-ietf-cose-falcon-03
CBOR Object Signing and Encryption                            M. Prorock
Internet-Draft                                                  mesur.io
Intended status: Standards Track                               O. Steele
Expires: 15 April 2026                                      Tradeverifyd
                                                           H. Tschofenig
                                                                   H-BRS
                                                         12 October 2025

                        FN-DSA for JOSE and COSE
                       draft-ietf-cose-falcon-03

Abstract

   This document specifies JSON Object Signing and Encryption (JOSE) and
   CBOR Object Signing and Encryption (COSE) serializations for FFT
   (fast-Fourier transform) over NTRU-Lattice-Based Digital Signature
   Algorithm (FN-DSA), a Post-Quantum Cryptography (PQC) digital
   signature scheme defined in US NIST FIPS 206 (expected to be
   published in late 2026 early 2027).

   It does not define new cryptographic primitives; rather, it specifies
   how existing FN-DSA mechanisms are serialized for use in JOSE and
   COSE.  This document registers signature algorithms for JOSE and
   COSE, specifically FN-DSA-512 and FN-DSA-1024.

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-falcon/draft-ietf-cose-falcon.html.
   Status information for this document may be found at
   https://datatracker.ietf.org/doc/draft-ietf-cose-falcon/.

   Discussion of this document takes place on the CBOR Object Signing
   and Encryption 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/cose-wg/draft-ietf-cose-falcon.

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 Notice

   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
   2.  Terminology . . . . . . . . . . . . . . . . . . . . . . . . .   4
   3.  The FN-DSA Algorithm Family . . . . . . . . . . . . . . . . .   4
   4.  FN-DSA Keys . . . . . . . . . . . . . . . . . . . . . . . . .   5
   5.  Security Considerations . . . . . . . . . . . . . . . . . . .   5
     5.1.  Validating Public Keys  . . . . . . . . . . . . . . . . .   6
     5.2.  Side-Channel Attacks  . . . . . . . . . . . . . . . . . .   6
     5.3.  Randomness Considerations . . . . . . . . . . . . . . . .   6
   6.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .   6
     6.1.  New COSE Algorithms . . . . . . . . . . . . . . . . . . .   6
       6.1.1.  FN-DSA-512  . . . . . . . . . . . . . . . . . . . . .   6
       6.1.2.  FN-DSA-1024 . . . . . . . . . . . . . . . . . . . . .   6
     6.2.  New JOSE Algorithms . . . . . . . . . . . . . . . . . . .   7
       6.2.1.  FN-DSA-512  . . . . . . . . . . . . . . . . . . . . .   7
       6.2.2.  FN-DSA-1024 . . . . . . . . . . . . . . . . . . . . .   7
   7.  References  . . . . . . . . . . . . . . . . . . . . . . . . .   8
     7.1.  Normative References  . . . . . . . . . . . . . . . . . .   8
     7.2.  Informative References  . . . . . . . . . . . . . . . . .   9
   Appendix A.  Examples . . . . . . . . . . . . . . . . . . . . . .  10
     A.1.  JOSE  . . . . . . . . . . . . . . . . . . . . . . . . . .  10

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       A.1.1.  Key Pair  . . . . . . . . . . . . . . . . . . . . . .  10
       A.1.2.  JSON Web Signature  . . . . . . . . . . . . . . . . .  10
     A.2.  COSE  . . . . . . . . . . . . . . . . . . . . . . . . . .  10
       A.2.1.  Key Pair  . . . . . . . . . . . . . . . . . . . . . .  10
       A.2.2.  COSE Sign1  . . . . . . . . . . . . . . . . . . . . .  11
   Appendix B.  Document History . . . . . . . . . . . . . . . . . .  11
   Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . .  11
   Contributors  . . . . . . . . . . . . . . . . . . . . . . . . . .  12
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  12

1.  Introduction

   This document specifies JSON Object Signing and Encryption (JOSE) and
   CBOR Object Signing and Encryption (COSE) serializations for FFT
   (fast-Fourier transform) over NTRU-Lattice-Based Digital Signature
   Algorithm (FN-DSA), a Post-Quantum Cryptography (PQC) digital
   signature scheme defined in US NIST FIPS 206 (expected to be
   published in late 2026 early 2027).

   FN-DSA (formerly known as Falcon) is a lattice-based digital
   signature scheme based on the GPV hash-and-sign framework [GPV08],
   instantiated over NTRU lattices with fast Fourier sampling techniques
   [DP16].  The core hard problem underlying FN-DSA is the SIS (Short
   Integer Solution) problem over NTRU lattices.

   FN-DSA (formerly known as Falcon) is a digital signature algorithm
   based on lattice mathematics.  It follows the hash-and-sign design
   introduced by Gentry, Peikert, and Vaikuntanathan [GPV08].  FN-DSA
   operates on NTRU lattices and uses fast Fourier techniques [DP16] to
   make signature generation compact and efficient.  The security of the
   scheme relies on the hardness of solving certain lattice problems, in
   particular the Short Integer Solution (SIS) problem.

   FN-DSA offers:

   *  Post-quantum security under the assumption that NTRU-SIS remains
      hard.

   *  Compactness in key and signature size.

   *  Efficient operations (roughly O(n log n)).

   *  A requirement for careful implementation to avoid side-channel
      leakage (notably Gaussian sampling must be constant-time where
      applicable).

   The sizes of public key, private key, and signature for the parameter
   sets are the same as in the original Falcon specification:

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      +===============+==============+==============+==============+
      | Parameter Set | Signature    | Public Key   | Private Key  |
      |               | size (bytes) | size (bytes) | size (bytes) |
      +===============+==============+==============+==============+
      | FN-DSA-512    | 666          | 897          | 1281         |
      +---------------+--------------+--------------+--------------+
      | FN-DSA-1024   | 1280         | 1793         | 2305         |
      +---------------+--------------+--------------+--------------+

                                 Table 1

   For a detailed comparison of FN-DSA with ML-DSA [USNIST.FIPS.204] and
   SLH-DSA [USNIST.FIPS.205] see Section 11.3 of
   [I-D.draft-ietf-pquip-pqc-engineers].

   This document defines how FN-DSA is used with JSON Object Signing and
   Encryption (JOSE) [RFC7515] and CBOR Object Signing and Encryption
   (COSE) [RFC9052] [RFC9053].

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.  The FN-DSA Algorithm Family

   The FN-DSA Signature Scheme is parameterized to support different
   security levels.

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

   +=============+=============+================================+
   | Name        | alg         | Description                    |
   +=============+=============+================================+
   | FN-DSA-512  | FN-DSA-512  | FN-DSA with parameter set 512  |
   +-------------+-------------+--------------------------------+
   | FN-DSA-1024 | FN-DSA-1024 | FN-DSA with parameter set 1024 |
   +-------------+-------------+--------------------------------+

                Table 2: JOSE Algorithms for FN-DSA

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

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   +=============+============+==========================+
   | Name        | alg        | Description              |
   +=============+============+==========================+
   | FN-DSA-512  | TBD1 (-54) | CBOR Object Signing      |
   |             |            | Algorithm for FALCON512  |
   +-------------+------------+--------------------------+
   | FN-DSA-1024 | TBD2 (-55) | CBOR Object Signing      |
   |             |            | Algorithm for FALCON1024 |
   +-------------+------------+--------------------------+

             Table 3: COSE Algorithms for FN-DSA

4.  FN-DSA Keys

   The FN-DSA Algorithm Family uses the Algorithm Key Pair (AKP) key
   type, as defined in [I-D.draft-ietf-cose-dilithium].

   The specific algorithms for FN-DSA, such as FALCON512 and FALCON1024,
   are defined in this document and are used in the alg value of an AKP
   key representation to specify the corresponding algorithm.

   Thumbprints for FN-DSA keys are computed according to the process
   described in [I-D.draft-ietf-cose-dilithium].

5.  Security Considerations

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

   A detailed security analysis of FN-DSA is beyond the scope of this
   specification; see [USNIST.FIPS.206] for additional details.

   All the usual caveats for PQC and side-channel resistance apply.

   *  Implementations MUST ensure that alg matches the intended
      algorithm variant.

   *  Private implementations of sampling (Gaussian, etc.) must be
      constant-time to prevent leakage.

   *  Public keys SHOULD be validated before use (e.g., against encoding
      constraints).

   *  Nonces, random values, blinding factors (if used) MUST originate
      from a secure source of randomness.

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5.1.  Validating Public Keys

   TODO

5.2.  Side-Channel Attacks

   Implementers should follow best practices to mitigate timing, cache,
   and power side channels, such as:

   *  Using constant-time arithmetic

   *  Maintaining uniform memory access patterns

   *  Avoiding data-dependent branching or memory indexing

5.3.  Randomness Considerations

   All required randomness (e.g. for signature generation) MUST be
   derived from a cryptographically secure, high-entropy source.

6.  IANA Considerations

6.1.  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].

6.1.1.  FN-DSA-512

   *  Name: FN-DSA-512

   *  Value: TBD1 (requested assignment -54)

   *  Description: CBOR Object Signing Algorithm for FALCON512

   *  Capabilities: [kty]

   *  Change Controller: IETF

   *  Reference: RFC XXXX

   *  Recommended: Yes

6.1.2.  FN-DSA-1024

   *  Name: FN-DSA-1024

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   *  Value: TBD2 (requested assignment -55)

   *  Description: CBOR Object Signing Algorithm for FALCON1024

   *  Capabilities: [kty]

   *  Change Controller: IETF

   *  Reference: RFC XXXX

   *  Recommended: Yes

6.2.  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].

6.2.1.  FN-DSA-512

   *  Algorithm Name: FN-DSA-512

   *  Algorithm Description: FN-DSA-512 as described in US NIST FIPS
      206.

   *  Algorithm Usage Location(s): alg

   *  JOSE Implementation Requirements: Optional

   *  Change Controller: IETF

   *  Specification Document(s): RFC XXXX

   *  Algorithm Analysis Documents(s): [USNIST.FIPS.206]

6.2.2.  FN-DSA-1024

   *  Algorithm Name: FN-DSA-1024

   *  Algorithm Description: FN-DSA-1024 as described in US NIST FIPS
      206.

   *  Algorithm Usage Location(s): alg

   *  JOSE Implementation Requirements: Optional

   *  Change Controller: IETF

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   *  Specification Document(s): RFC XXXX

   *  Algorithm Analysis Documents(s): [USNIST.FIPS.206]

7.  References

7.1.  Normative References

   [I-D.draft-ietf-cose-dilithium]
              Prorock, M. and O. Steele, "ML-DSA for JOSE and COSE",
              Work in Progress, Internet-Draft, draft-ietf-cose-
              dilithium-09, 12 September 2025,
              <https://datatracker.ietf.org/doc/html/draft-ietf-cose-
              dilithium-09>.

   [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>.

   [RFC7515]  Jones, M., Bradley, J., and N. Sakimura, "JSON Web
              Signature (JWS)", RFC 7515, DOI 10.17487/RFC7515, May
              2015, <https://www.rfc-editor.org/rfc/rfc7515>.

   [RFC7517]  Jones, M., "JSON Web Key (JWK)", RFC 7517,
              DOI 10.17487/RFC7517, May 2015,
              <https://www.rfc-editor.org/rfc/rfc7517>.

   [RFC7518]  Jones, M., "JSON Web Algorithms (JWA)", RFC 7518,
              DOI 10.17487/RFC7518, May 2015,
              <https://www.rfc-editor.org/rfc/rfc7518>.

   [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>.

   [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>.

   [RFC9053]  Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Initial Algorithms", RFC 9053, DOI 10.17487/RFC9053,
              August 2022, <https://www.rfc-editor.org/rfc/rfc9053>.

   [RFC9054]  Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Hash Algorithms", RFC 9054, DOI 10.17487/RFC9054, August
              2022, <https://www.rfc-editor.org/rfc/rfc9054>.

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   [USNIST.FIPS.206]
              "Fast Fourier Transform over NTRU-Lattice-Based Digital
              Signature Algorithm", n.d., <https://www.nist.gov/news-
              events/news/2024/08/nist-releases-first-3-finalized-post-
              quantum-encryption-standards>.

7.2.  Informative References

   [DP16]     Ducas, L. and T. Prest, "Fast Fourier Orthogonalization",
              Proceedings of the 2016 ACM International Symposium on
              Symbolic and Algebraic Computation (ISSAC '16), pp.
              191–198 , 2016, <https://doi.org/10.1145/2930889.2930923>.

   [GPV08]    Gentry, C., Peikert, C., and V. Vaikuntanathan, "Trapdoors
              for Hard Lattices and New Cryptographic Constructions",
              Proceedings of the 40th Annual ACM Symposium on Theory of
              Computing (STOC '08), pp. 197–206 , 2008,
              <https://doi.org/10.1145/1374376.1374407>.

   [I-D.draft-ietf-pquip-pqc-engineers]
              Banerjee, A., Reddy.K, T., Schoinianakis, D., Hollebeek,
              T., and M. Ounsworth, "Post-Quantum Cryptography for
              Engineers", Work in Progress, Internet-Draft, draft-ietf-
              pquip-pqc-engineers-14, 25 August 2025,
              <https://datatracker.ietf.org/doc/html/draft-ietf-pquip-
              pqc-engineers-14>.

   [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>.

   [USNIST.FIPS.204]
              "Module-Lattice-Based Digital Signature Standard", n.d.,
              <https://doi.org/10.6028/NIST.FIPS.204>.

   [USNIST.FIPS.205]
              "Stateless Hash-Based Digital Signature Standard", n.d.,
              <https://doi.org/10.6028/NIST.FIPS.205>.

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Appendix A.  Examples

A.1.  JOSE

A.1.1.  Key Pair

   {
     "kty": "AKP",
     "alg": "FN-DSA-512",
     "pub": "V53SIdVF...uvw2nuCQ",
     "priv": "V53SIdVF...cDKLbsBY"
   }

             Figure 1: Example FN-DSA-512 Private JSON Web Key

   {
     "kty": "AKP",
     "alg": "FN-DSA-512",
     "pub": "V53SIdVF...uvw2nuCQ"
   }

              Figure 2: Example FN-DSA-512 Public JSON Web Key

A.1.2.  JSON Web Signature

   {
     "kid: "clpwZ...RWYU9CUF",
     "alg": "FN-DSA-512",
     "typ": "JWT"
   }

      Figure 3: Example FN-DSA-512 Decoded Protected Header for a JSON
                               Web Signature

A.2.  COSE

A.2.1.  Key Pair

   {
     / kty AKP        / 1: 7,
     / alg FN-DSA-512 / 3: -54,
     / public key     / -1: h'7803c0f9...3f6e2c70',
     / private key    / -2: h'7803c0f9...3bba7abd'
   }

               Figure 4: Example FN-DSA-512 Private COSE Key

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   {
     / kty AKP         / 1: 7,
     / alg FN-DSA-512  / 3: -54,
     / public key      / -1: h'7803c0f9...3f6e2c70',
   }

                Figure 5: Example FN-DSA-512 Public COSE Key

A.2.2.  COSE Sign1

   18([
     <<{
       / alg FN-DSA-512 / 1: -54,
     }>>,
     / unprotected / {},
     / payload / h'66616b65',
     / signature / h'53e855e8...0f263549'
   ])

                  Figure 6: Example FN-DSA-512 COSE Sign1

Appendix B.  Document History

   -02

   *  Converted to markdown

   *  Applied feedback from IESG Evaluation on ML-DSA

   *  Revised references

   *  Revised abstract

   -01

   *  Added Acknowledgements

   *  Added Document History

   *  Updated test vectors

Acknowledgments

   We would like to especially thank David Balenson for careful review
   of approaches taken in this document.  We would also like to thank
   Michael B.  Jones for guidance in authoring.

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Contributors

   Rafael Misoczki
   Google
   Email: rafaelmisoczki@google.com

   Michael Osborne
   IBM
   Email: osb@zurich.ibm.com

   Christine Cloostermans
   NXP
   Email: christine.cloostermans@nxp.com

Authors' Addresses

   Michael Prorock
   mesur.io
   Email: mprorock@mesur.io

   Orie Steele
   Tradeverifyd
   Email: orie@or13.io

   Hannes Tschofenig
   University of Applied Sciences Bonn-Rhein-Sieg
   Germany
   Email: hannes.tschofenig@gmx.net

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