Paper 2021/444

Xifrat - Compact Public-Key Cryptosystems based on Quasigroups

Daniel Nager and "Danny" Niu Jianfang

Abstract

In this paper, we propose a new public-key cryptosystem based on a quasigroup with the special property of "restricted-commutativity". We argue its security empirically and present constructions for key exchange and digital signature. To the best of our knowledge, our primitive and construction have no known polynomial-time attack from quantum computers yet. We note that quasigroups with such property had been independently proposed for use in public-key cryptography and termed "entropic" quasigroups or "entropoids" by D.Gligoroski.