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Abstract.
We construct non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and other left distributive systems. Instantiations of these protocols using generalized shifted conjugacy in braid groups lead to instances of a natural and apparently new group-theoretic problem, which we call the (subgroup) conjugacy coset problem.
Keywords: Non-commutative cryptography; key establishment protocol; magma (groupoid); left distributive system; braid group; shifted conjugacy; conjugacy coset problem
Received: 2013-05-07
Revised: 2013-09-15
Published Online: 2013-10-15
Published in Print: 2013-11-01
© 2013 by Walter de Gruyter Berlin Boston
