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Licensed Unlicensed Requires Authentication Published by De Gruyter October 15, 2013

Non-associative key establishment for left distributive systems

  • Arkadius Kalka EMAIL logo and Mina Teicher

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.

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

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