Cryptology ePrint Archive: Report 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.

Category / Keywords: public-key cryptography / digital signature, key exchange, quantum-safe, entropic quasigroup, entropoid

Date: received 5 Apr 2021, last revised 16 Apr 2021

Contact author: dannyniu at hotmail com, daniel nager at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20210416:080428 (All versions of this report)

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