Braid Group Cryptography

David Garber

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arXiv · 0711.3941

Braid Group Cryptography

David Garber

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Abstract

In the last decade, a number of public key cryptosystems based on com- binatorial group theoretic problems in braid groups have been proposed. We survey these cryptosystems and some known attacks on them. This survey includes: Basic facts on braid groups and on the Garside normal form of its elements, some known algorithms for solving the word problem in the braid group, the major public-key cryptosystems based on the braid group, and some of the known attacks on these cryptosystems. We conclude with a discussion of future directions (which includes also a description of cryptosystems which are based on other non-commutative groups).

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David Garber. 2008-09-27. Braid Group Cryptography. https://arxiv.org/abs/0711.3941

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