Computer Science – Cryptography and Security
Scientific paper
2006-07-17
Journal of Mathematical Cryptology 1 (2007), 359--372
Computer Science
Cryptography and Security
Final version, to appear in JMC
Scientific paper
10.1515/jmc.2007.018
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.
Ruinskiy Dima
Shamir Adi
Tsaban Boaz
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