New Differential-Algebraic Attacks and Reparametrization of Rainbow View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2008

AUTHORS

Jintai Ding , Bo-Yin Yang , Chia-Hsin Owen Chen , Ming-Shing Chen , Chen-Mou Cheng

ABSTRACT

A recently proposed class of multivariate Public-Key Cryptosystems, the Rainbow-Like Digital Signature Schemes, in which successive sets of central variables are obtained from previous ones by solving linear equations, seem to lead to efficient schemes (TTS, TRMS, and Rainbow) that perform well on systems of low computational resources. Recently SFLASH (C ∗ −) was broken by Dubois, Fouque, Shamir, and Stern via a differential attack. In this paper, we exhibit similar algebraic and diffential attacks, that will reduce published Rainbow-like schemes below their security levels. We will also discuss how parameters for Rainbow and TTS schemes should be chosen for practical applications. Note: Up-to-date version will be available at http://eprint.iacr.org/2008/108 More... »

PAGES

242-257

References to SciGraph publications

  • 1997. Trapdoor one-way permutations and multivariate polynomials in INFORMATION AND COMMUNICATIONS SECURITY
  • 2005. Cryptanalysis of the Tractable Rational Map Cryptosystem in PUBLIC KEY CRYPTOGRAPHY - PKC 2005
  • 2005. Finding Collisions in the Full SHA-1 in ADVANCES IN CRYPTOLOGY – CRYPTO 2005
  • 2001-12-04. Attacking the Affine Parts of SFLASH in CRYPTOGRAPHY AND CODING
  • 2000. Cryptanalysis of the TTM Cryptosystem in ADVANCES IN CRYPTOLOGY — ASIACRYPT 2000
  • 2005. Building Secure Tame-like Multivariate Public-Key Cryptosystems: The New TTS in INFORMATION SECURITY AND PRIVACY
  • 1997-06. The security of the birational permutation signature schemes in JOURNAL OF CRYPTOLOGY
  • 2006. Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects in ADVANCES IN CRYPTOLOGY - EUROCRYPT 2006
  • 1998. Cryptanalysis of the oil and vinegar signature scheme in ADVANCES IN CRYPTOLOGY — CRYPTO '98
  • 1999-04-15. Unbalanced Oil and Vinegar Signature Schemes in ADVANCES IN CRYPTOLOGY — EUROCRYPT ’99
  • 2005. Tractable Rational Map Signature in PUBLIC KEY CRYPTOGRAPHY - PKC 2005
  • 2006. Cryptanalysis of Rainbow in SECURITY AND CRYPTOGRAPHY FOR NETWORKS
  • 2007. Practical Cryptanalysis of SFLASH in ADVANCES IN CRYPTOLOGY - CRYPTO 2007
  • 2005. Rainbow, a New Multivariable Polynomial Signature Scheme in ROBOCUP 2005: ROBOT SOCCER WORLD CUP IX
  • 2000. Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations in ADVANCES IN CRYPTOLOGY — EUROCRYPT 2000
  • 2005. Efficient Cryptanalysis of RSE(2)PKC and RSSE(2)PKC in SECURITY IN COMMUNICATION NETWORKS
  • 2006. Curve25519: New Diffie-Hellman Speed Records in PUBLIC KEY CRYPTOGRAPHY - PKC 2006
  • 2005. All in the XL Family: Theory and Practice in INFORMATION SECURITY AND CRYPTOLOGY – ICISC 2004
  • 2007. Analysis of QUAD in FAST SOFTWARE ENCRYPTION
  • Book

    TITLE

    RoboCup 2001: Robot Soccer World Cup V

    ISBN

    978-3-540-43912-7
    978-3-540-45603-2

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-540-68914-0_15

    DOI

    http://dx.doi.org/10.1007/978-3-540-68914-0_15

    DIMENSIONS

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    27 schema:description A recently proposed class of multivariate Public-Key Cryptosystems, the Rainbow-Like Digital Signature Schemes, in which successive sets of central variables are obtained from previous ones by solving linear equations, seem to lead to efficient schemes (TTS, TRMS, and Rainbow) that perform well on systems of low computational resources. Recently SFLASH (C ∗ −) was broken by Dubois, Fouque, Shamir, and Stern via a differential attack. In this paper, we exhibit similar algebraic and diffential attacks, that will reduce published Rainbow-like schemes below their security levels. We will also discuss how parameters for Rainbow and TTS schemes should be chosen for practical applications. Note: Up-to-date version will be available at http://eprint.iacr.org/2008/108
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