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Generic Indifferentiability Proofs of Hash Designs

Abstract : —In this paper, we propose a formal analysis of domain extenders for hash functions in the indiffer-entiability framework. We define a general model for domain extenders and provide a unified proof of their security in the form of a generic reduction theorem. Our general model for domain exenders captures many iterated constructions such as domain extenders, modes of operation of symmetric cryptography such as CBC-MAC or blockciphers based on Feistel networks. Its proof has been carried out using the Computational Indistin-guishability Logic of Barthe et al.. The theorem can help designers of hash functions justifying the security of their constructions: they only need to bound the probability of well-defined events. Our model allows to consider many SHA-3 finalists and is instantiated on two well-known constructions, namely Chop-MD and Sponge. Finally, the indifferentiability bounds which we prove are convincing since they match previous proofs.
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https://hal.inria.fr/hal-01094323
Contributor : Pierre-Alain Fouque <>
Submitted on : Friday, December 12, 2014 - 10:10:43 AM
Last modification on : Thursday, November 19, 2020 - 3:58:03 PM
Long-term archiving on: : Friday, March 13, 2015 - 10:30:58 AM

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Marion Daubignard, Pierre-Alain Fouque, Yassine Lakhnech. Generic Indifferentiability Proofs of Hash Designs. 25th Computer Security Foundations Symposium, 2012, Jun 2012, Cambridge, United States. pp.14, ⟨10.1109/CSF.2012.13⟩. ⟨hal-01094323⟩

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