Welcome to the resource topic for 2017/473
Title:
Encrypted Davies-Meyer and Its Dual: Towards Optimal Security Using Mirror Theory
Authors: Bart Mennink, Samuel Neves
Abstract:At CRYPTO 2016, Cogliati and Seurin introduced the Encrypted Davies-Meyer construction, p_2(p_1(x) \oplus x) for two n-bit permutations p_1,p_2, and proved security up to 2^{2n/3}. We present an improved security analysis up to 2^n/(67n). Additionally, we introduce the dual of the Encrypted Davies-Meyer construction, p_2(p_1(x)) \oplus p_1(x), and prove even tighter security for this construction: 2^n/67. We finally demonstrate that the analysis neatly generalizes to prove almost optimal security of the Encrypted Wegman-Carter with Davies-Meyer MAC construction. Central to our analysis is a modernization of Patarin’s mirror theorem and an exposition of how it relates to fundamental cryptographic problems.
ePrint: https://eprint.iacr.org/2017/473
Talk: https://www.youtube.com/watch?v=MvJ95FxIvdk
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