Could SFLASH be Repaired? View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2008

AUTHORS

Jintai Ding , Vivien Dubois , Bo-Yin Yang , Owen Chia-Hsin Chen , Chen-Mou Cheng

ABSTRACT

The SFLASH signature scheme stood for a decade as the most successful cryptosystem based on multivariate polynomials, before an efficient attack was finally found in 2007. In this paper, we review its recent cryptanalysis and we notice that its weaknesses can all be linked to the fact that the cryptosystem is built on the structure of a large field. As the attack demonstrates, this richer structure can be accessed by an attacker by using the specific symmetry of the core function being used. Then, we investigate the effect of restricting this large field to a purely linear subset and we find that the symmetries exploited by the attack are no longer present. At a purely defensive level, this defines a countermeasure which can be used at a moderate overhead. On the theoretical side, this informs us of limitations of the recent attack and raises interesting remarks about the design itself of multivariate schemes. More... »

PAGES

691-701

References to SciGraph publications

  • 2007. Cryptanalysis of HFE with Internal Perturbation in PUBLIC KEY CRYPTOGRAPHY – PKC 2007
  • 2007. Cryptanalysis of SFLASH with Slightly Modified Parameters in ADVANCES IN CRYPTOLOGY - EUROCRYPT 2007
  • 2002-09-24. C−+* and HM: Variations Around Two Schemes of T. Matsumoto and H. Imai in ADVANCES IN CRYPTOLOGY — ASIACRYPT’98
  • 1988. Public Quadratic Polynomial-Tuples for Efficient Signature-Verification and Message-Encryption in ADVANCES IN CRYPTOLOGY — EUROCRYPT ’88
  • 2001-07-13. Efficient Signature Schemes Based on Birational Permutations in ADVANCES IN CRYPTOLOGY — CRYPTO’ 93
  • 1995. Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt’88 in ADVANCES IN CRYPTOLOGY — CRYPT0’ 95
  • 2006. An Efficient Provable Distinguisher for HFE in AUTOMATA, LANGUAGES AND PROGRAMMING
  • 2007. Practical Cryptanalysis of SFLASH in ADVANCES IN CRYPTOLOGY - CRYPTO 2007
  • 2006. Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects in ADVANCES IN CRYPTOLOGY - EUROCRYPT 2006
  • Book

    TITLE

    Automata, Languages and Programming

    ISBN

    978-3-540-70582-6
    978-3-540-70583-3

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-540-70583-3_56

    DOI

    http://dx.doi.org/10.1007/978-3-540-70583-3_56

    DIMENSIONS

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