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arXiv · 1407.1685

Search problems in groups and branching processes

Pavel Morar·Alexander Ushakov
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Abstract

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.

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Pavel Morar, Alexander Ushakov. 2014-07-07. Search problems in groups and branching processes. https://arxiv.org/abs/1407.1685

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