Cryptology ePrint Archive: Report 2009/199

Indifferentiability with Distinguishers: Why Shabal\Does Not Require Ideal Ciphers

Emmanuel Bresson and Anne Canteaut and Benoit Chevallier-Mames and Christophe Clavier and Thomas Fuhr and Aline Gouget and Thomas Icart and Jean-Francois Misarsky and Maria Naya-Plasencia and Pascal Paillier and Thomas Pornin and Jean-Rene Reinhard and Celine Thuillet and Marion Videau

Abstract: Shabal is based on a new provably secure mode of operation. Some related-key distinguishers for the underlying keyed permutation have been exhibited recently by Aumasson et al. and Knudsen et al., but with no visible impact on the security of Shabal. This paper then aims at extensively studying such distinguishers for the keyed permutation used in Shabal, and at clarifying the impact that they exert on the security of the full hash function. Most interestingly, a new security proof for Shabal's mode of operation is provided where the keyed permutation is not assumed to be an ideal cipher anymore, but observes a distinguishing property i.e., an explicit relation verified by all its inputs and outputs. As a consequence of this extended proof, all known distinguishers for the keyed permutation are proven not to weaken the security of Shabal. In our study, we provide the foundation of a generalization of the indifferentiability framework to biased random primitives, this part being of independent interest

Category / Keywords: secret-key cryptography / hash functions

Date: received 7 May 2009

Contact author: Anne Canteaut at inria fr

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Version: 20090520:034709 (All versions of this report)

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