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Paper detail

Search problems in groups and branching processes

In this paper we study complexity of randomly generated instances of Dehn search problems in finitely presented groups. We use Crump-Mode-Jagers processes to show that most of the random instances are easy. Our analysis shows that for any choice of a finitely presented platform group in Wagner-Wagner public key encryption protocol the majority of random keys can be broken by a polynomial time algorithm.

preprint2014arXivOpen access
Pavel MorarAlexander Ushakov
math.GR
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Pavel MorarAlexander Ushakov

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