[Resource Topic] 2012/694: Cryptanalysis of matrix conjugation schemes

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Title:
Cryptanalysis of matrix conjugation schemes

Authors: A. D. Myasnikov, A. Ushakov

Abstract:

In this paper we cryptanalyze two protocols: Grigoriev-Shpilrain authentication protocol and Wang et al. public key encryption protocols that use computational hardness of some variations of the conjugacy search problem in noncommutative monoids. We devise a practical heuristic algorithm solving those problems. As a conclusion we claim that these protocols are insecure for the proposed parameter values.

ePrint: https://eprint.iacr.org/2012/694

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