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IETF RFC 5639
[ACTIVE]

Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation

Metadata

Publisher
IETF
Doc Type
Informational
Pages
27
Abstract
This memo proposes several elliptic curve domain parameters over finite prime fields for use in cryptographic applications. The domain parameters are consistent with the relevant international standards, and can be used in X.509 certificates and certificate revocation lists (CRLs), for Internet Key Exchange (IKE), Transport Layer Security (TLS), XML signatures, and all applications or protocols based on the cryptographic message syntax (CMS). This document is not an Internet Standards Track specification; it is published for informational purposes.
Publication Date
2010-03-01
Status Note
Informational
DOI
10.17487/RFC5639
Link
https://doi.org/10.17487/RFC5639
Author(s)
Manfred Lochter
Johannes Merkle
Latest version of IETF RFC 5639

Document Versions — IETF RFC 5639

  • ▶ IETF RFC 5639 (2010-03-01)
    THIS DOC [ACTIVE] [LATEST VERSION]

Normative Reference(s)

Bibliographic Reference(s)

  • ANSI.X9.63.2001 — X9.63 EXTERNAL
  • ISO.14888-3 — ISO14888-3 EXTERNAL
  • ISO.15946-2 — ISO15946-2 EXTERNAL
  • ISO.18032 — ISO3 EXTERNAL
  • NIST FIPS PUB 186-2 [Withdrawn]
  • ECC Brainpool, "ECC Brainpool Standard Curves and Curve Generation", October 2005, < http://www.ecc-brainpool.org/ download/Domain-parameters.pdf >. EXTERNAL
  • Smart, N., "The Discrete Logarithm Problem on Elliptic Curves of Trace One", Journal of Cryptology 12, 1999. EXTERNAL
  • Brown, J. and R. Gallant, "The Static Diffie-Hellman Problem", Centre for Applied Cryptographic Research, University of Waterloo, Technical Report CACR 2004-10, 2005. EXTERNAL
  • Brier, E. and M. Joyce, "Fast Multiplication on Elliptic Curves through Isogenies", Applied Algebra Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science 2643, Springer Verlag, 2003. EXTERNAL
  • Semaev, I., "Evaluation of Discrete Logarithms on Some Elliptic Curves", Mathematics of Computation 67, 1998. EXTERNAL
  • European Telecommunications Standards Institute (ETSI), "Algorithms and Parameters for Secure Electronic Signatures, Part 1: Hash Functions and Asymmetric Algorithms", TS 102 176-1, July 2005. EXTERNAL
  • Certicom Research, "Recommended Elliptic Curve Domain Parameters", Standards for Efficient Cryptography (SEC) 2, September 2000. EXTERNAL
  • Goubin, L., "A Refined Power-Analysis-Attack on Elliptic Curve Cryptosystems", Proceedings of Public-Key- Cryptography - PKC 2003, Lecture Notes in Computer Science 2567, Springer Verlag, 2003. EXTERNAL
  • Certicom Research, "Elliptic Curve Cryptography", Standards for Efficient Cryptography (SEC) 1, September 2000. EXTERNAL
  • Satoh, T. and K. Araki, "Fermat Quotients and the Polynomial Time Discrete Log Algorithm for Anomalous Elliptic Curves", Commentarii Mathematici Universitatis Sancti Pauli 47, 1998. EXTERNAL
  • Blake, I., Seroussi, G., and N. Smart, "Elliptic Curves in Cryptography", Cambridge University Press, 1999. EXTERNAL
  • Huang, M. and W. Raskind, "Signature Calculus and the Discrete Logarithm Problem for Elliptic Curves (Preliminary Version)", Unpublished Preprint, 2006, < http://www-rcf.usc.edu/~mdhuang/mypapers/062806dl3.pdf >. EXTERNAL
  • Cohen, H., Frey, G., Doche, C., Avanzi, R., Lange, T., Nguyen, K., and F. Vercauteren, "Handbook of Elliptic and Hyperelliptic Curve Cryptography", Chapman & Hall CRC Press, 2006. EXTERNAL
  • Jao, D., Miller, SD., and R. Venkatesan, "Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves", IACR Cryptology ePrint Archive 2004/312, 2004. EXTERNAL
  • Bohli, J., Roehrich, S., and R. Steinwandt, "Key Substitution Attacks Revisited: Taking into Account Malicious Signers", International Journal of Information Security Volume 5, Issue 1, January 2006. EXTERNAL
  • Hankerson, D., Menezes, A., and S. Vanstone, "Guide to Elliptic Curve Cryptography", Springer Verlag, 2004. EXTERNAL
  • IETF RFC 3279 [Active*]
  • IETF RFC 4050 [Active*]
  • IETF RFC 4492 [Superseded*]
  • IETF RFC 4754 [Active*]
  • IETF RFC 5753 [Active*]
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IETF RFC 5639, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation. Available at https://doi.org/10.17487/RFC5639
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IETF RFC 5639, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation. Available at https://doi.org/10.17487/RFC5639

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IETF RFC 5639, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation. Available at https://doi.org/10.17487/RFC5639
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<span class="citation"><cite>IETF RFC 5639</cite>, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation. Available at <a href="https://doi.org/10.17487/RFC5639" target="_blank" rel="noopener">https://doi.org/10.17487/RFC5639</a></span>

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IETF RFC 5639, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation
doi: 10.17487/RFC5639
url: https://doi.org/10.17487/RFC5639
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<cite id="bib-rfc5639">IETF RFC 5639</cite>, Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation
<span class="doi">10.17487/RFC5639</span>
</li>

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