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Encrypted Davies-Meyer and Its Dual: Towards Optimal Security Using Mirror Theory
PRP-to-PRF Encrypted Davies-Meyer Encrypted Davies-Meyer Dual
2017/5/31
At CRYPTO 2016, Cogliati and Seurin introduced the Encrypted Davies-Meyer construction, p2(p1(x)⊕x)p2(p1(x)⊕x) for two nn-bit permutations p1,p2p1,p2, and proved security up to 22n/322n/3. We present ...
``Mirror Theory'' is the theory that evaluates the number of solutions of affine systems of equalities (=) and non equalities (≠≠) in finite groups. It is deeply related to the security and attacks of...
Introduction to Mirror Theory: Analysis of Systems of Linear Equalities and Linear Non Equalities for Cryptography
secret-key cryptography Xor of random permutations Systems of linear Equalities and Linear non Equalities in finite groups
2010/7/13
In this paper we will first study two closely related problems:
1. The problem of distinguishing f(xk0) f(xk1) where f is a random
permutation on n bits. This problem was rst studied by Bellare a...