Welcome to the resource topic for 2006/244
Title:
Length-based cryptanalysis: The case of Thompson’s Group
Authors: Dima Ruinskiy, Adi Shamir, Boaz Tsaban
Abstract:The length-based approach is a heuristic for solving randomly generated equations in groups which possess a reasonably behaved length function. We describe several improvements of the previously suggested length-based algorithms, that make them applicable to Thompson’s group with significant success rates. In particular, this shows that the Shpilrain-Ushakov public key cryptosystem based on Thompson’s group is insecure, and suggests that no practical public key cryptosystem based on this group can be secure.
ePrint: https://eprint.iacr.org/2006/244
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