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A Survey on Polly Cracker Systems

In: Gröbner Bases, Coding, and Cryptography

Author

Listed:
  • Françoise Levy-dit-Vehel

    (ENSTA)

  • Maria Grazia Marinari

    (Università di Genova, DIMA)

  • Ludovic Perret

    (Univ. Paris 06, CNRS, UMR 7606, LIP6, SALSA Project, INRIA, Centre Paris-Rocquencourt UPMC)

  • Carlo Traverso

    (Università di Pisa, Dipartimento di Matematica “Leonida Tonelli”)

Abstract

In 1993 Boo Barkee and others have written a paper “Why you cannot even hope to use Gröbner Bases in Public Key Cryptography: an open letter to a scientist who failed and a challenge to those who have not yet failed.” Since 1994, further attempts have been made, that gave rise to several cryptosystems now known as Polly Cracker systems. None of these proposals have been successful, and while Gröbner Bases are now an established tool for cryptanalysis, the challenge of Boo Barkee still stands w.r.t. the design point of view. We outline a description of how all these attempts have failed.

Suggested Citation

  • Françoise Levy-dit-Vehel & Maria Grazia Marinari & Ludovic Perret & Carlo Traverso, 2009. "A Survey on Polly Cracker Systems," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 285-305, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-93806-4_16
    DOI: 10.1007/978-3-540-93806-4_16
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