Welcome to the resource topic for 2017/1171
Title:
Attacks on the AJPS Mersenne-based cryptosystem
Authors: Koen de Boer, Léo Ducas, Stacey Jeffery, Ronald de Wolf
Abstract:Aggarwal, Joux, Prakash and Santha recently introduced a new potentially quantum-safe public-key cryptosystem, and suggested that a brute-force attack is essentially optimal against it. They consider but then dismiss both Meet-in-the-Middle attacks and LLL-based attacks. Very soon after their paper appeared, Beunardeau et al.\ proposed a practical LLL-based technique that seemed to significantly reduce the security of the AJPS system. In this paper we do two things. First, we show that a Meet-in-the-Middle attack can also be made to work against the AJPS system, using locality-sensitive hashing to overcome the difficulty that Aggarwal et al.\ saw for such attacks. We also present a quantum version of this attack. Second, we give a more precise analysis of the attack of Beunardeau et al., confirming and refining their results.
ePrint: https://eprint.iacr.org/2017/1171
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