Non-associative public-key cryptography
Cryptography and Security
2012-11-01 v1 Group Theory
Abstract
We introduce a generalized Anshel-Anshel-Goldfeld (AAG) key establishment protocol (KEP) for magmas. This leads to the foundation of non-associative public-key cryptography (PKC), generalizing the concept of non-commutative PKC. We show that left selfdistributive systems appear in a natural special case of a generalized AAG-KEP for magmas, and we propose, among others instances, concrete realizations using -conjugacy in groups and shifted conjugacy in braid groups. We discuss the advantages of our schemes compared with the classical AAG-KEP based on conjugacy in braid groups.
Cite
@article{arxiv.1210.8270,
title = {Non-associative public-key cryptography},
author = {Arkadius Kalka},
journal= {arXiv preprint arXiv:1210.8270},
year = {2012}
}
Comments
32 pages