Non-associative key establishment for left distributive systems
This work addresses cryptographic key establishment for specialized algebraic structures, presenting a novel approach but likely incremental in the broader field of cryptography.
The paper tackled the problem of constructing non-associative key establishment protocols for left distributive systems, resulting in new protocols for all left self-distributive, multi-LD-, and other left distributive systems, with instantiations using generalized shifted conjugacy in braid groups leading to a new group-theoretic problem called the (subgroup) conjugacy coset problem.
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.