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Cryptanalysis of a cryptosystem based on Drinfeld modules

Cryptanalysis of a cryptosystem based on Drinfeld modules

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A public key cryptosystem based on Drinfeld modules has been proposed by Gillard, Leprevost, Panchishkin and Roblot. This article shows how an adversary can directly recover a private key using only the public key; thus the cryptosystem is insecure.

References

    1. 1)
      • R. Gillard , F. Leprevost , A. Panchishkin , X.-F Robert . Utilisation des modules de modules de Drinfeld en cryptologie. C. R. Acad. Sci. Paris, Série I , 879 - 882
    2. 2)
      • Courtois, N., Klimov, A., Patarin, J., Shamir, A.: `Efficient algorithms for solving overdefined for solving overdefined systems of multivariate polynomial equations', Proc. Advances in Cryptology—EUROCRYPT 2000, May 2000, Bruges, Belgium, 1807, Springer, 2000, p. 392–407, LNCS.
    3. 3)
      • T. Scanlon . Public key cryptosystems based on Drinfeld modules are insecure. J. Cryptol , 4 , 225 - 230
    4. 4)
      • Kipnis, A., Shamir, A.: `Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization', Proc. Advances in Cryptology—CRYPTO '99, August 1999, Santa Barbara, CA, USA, 1666, Springer, 1999, p. 19–30, LNCS.
    5. 5)
      • Magma v2.10: Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, 2003.
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