Attacks on the AJPS Mersenne-based cryptosystem.
PQCrypto(2018)
摘要
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.
更多查看译文
关键词
Locality Sensitive Hashing, MITM Attack, Quantum Search Algorithm, Gaussian Heuristic, Approximate Collision
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络