Xifrat – Compact Public-Key Cryptosystems based on Quasigroups, by Daniel Nager and “Danny” Niu Jianfang

This paper proposes 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.