%0 Journal Article
%T Iterated LD-Problem in non-associative key establishment
%A Arkadius Kalka
%A Mina Teicher
%J Mathematics
%D 2013
%I arXiv
%X We construct new non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and mutual LD-systems. The hardness of these protocols relies on variations of the (simultaneous) iterated LD-problem and its generalizations. We discuss instantiations of these protocols using generalized shifted conjugacy in braid groups and their quotients, LD-conjugacy and $f$-symmetric conjugacy in groups. We suggest parameter choices for instantiations in braid groups, symmetric groups and several matrix groups.
%U http://arxiv.org/abs/1312.6791v1