Curve25519: New Diffie-Hellman Speed Records View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2006

AUTHORS

Daniel J. Bernstein

ABSTRACT

This paper explains the design and implementation of a high-security elliptic-curve-Diffie-Hellman function achieving record-setting speeds: e.g., 832457 Pentium III cycles (with several side benefits: free key compression, free key validation, and state-of-the-art timing-attack protection), more than twice as fast as other authors’ results at the same conjectured security level (with or without the side benefits). More... »

PAGES

207-228

References to SciGraph publications

  • 2000. Differential Fault Attacks on Elliptic Curve Cryptosystems in ADVANCES IN CRYPTOLOGY — CRYPTO 2000
  • 2004. Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS - CHES 2004
  • 2000-09. Kangaroos, Monopoly and Discrete Logarithms in JOURNAL OF CRYPTOLOGY
  • 2001-07-13. Towards the Equivalence of Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms in ADVANCES IN CRYPTOLOGY — CRYPTO ’94
  • 2006-05-17. A key recovery attack on discrete log-based schemes using a prime order subgroup in ADVANCES IN CRYPTOLOGY — CRYPTO '97
  • 2001. Software Implementation of the NIST Elliptic Curves Over Prime Fields in TOPICS IN CRYPTOLOGY — CT-RSA 2001
  • 2003. Validation of Elliptic Curve Public Keys in PUBLIC KEY CRYPTOGRAPHY — PKC 2003
  • 2001. Random Walks Revisited: Extensions of Pollard’s Rho Algorithm for Computing Multiple Discrete Logarithms in SELECTED AREAS IN CRYPTOGRAPHY
  • 2005. The Poly1305-AES Message-Authentication Code in FAST SOFTWARE ENCRYPTION
  • 2001-07-06. On the Implementation of Elliptic Curve Cryptosystems in ADVANCES IN CRYPTOLOGY — CRYPTO’ 89 PROCEEDINGS
  • 2001. Speeding Up XTR in ADVANCES IN CRYPTOLOGY — ASIACRYPT 2001
  • 1999-01. Parallel Collision Search with Cryptanalytic Applications in JOURNAL OF CRYPTOLOGY
  • 1986. Use of Elliptic Curves in Cryptography in ADVANCES IN CRYPTOLOGY — CRYPTO ’85 PROCEEDINGS
  • 2000. Software Implementation of Elliptic Curve Cryptography over Binary Fields in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS — CHES 2000
  • 2004. Selected Areas in Cryptography, 10th Annual International Workshop, SAC 2003, Ottawa, Canada, August 14-15, 2003. Revised Papers in NONE
  • 2000. Cryptographic Hardware and Embedded Systems — CHES 2000, Second International Workshop Worcester, MA, USA, August 17–18, 2000 Proceedings in NONE
  • 2001-06. Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography in JOURNAL OF CRYPTOLOGY
  • 2005. The Equivalence Between the DHP and DLP for Elliptic Curves Used in Practical Applications, Revisited in CRYPTOGRAPHY AND CODING
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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/11745853_14

    DOI

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    DIMENSIONS

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