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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. Minor revision.
Keywords
digital signaturekey exchangequantum-safeentropic quasigroupentropoid
Contact author(s)
dannyniu @ hotmail com
daniel nager @ gmail com
History
2021-04-16: last of 3 revisions
2021-04-08: received
See all versions
Short URL
https://ia.cr/2021/444
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2021/444,
      author = {Daniel Nager and "Danny" Niu Jianfang},
      title = {Xifrat - Compact Public-Key Cryptosystems based on Quasigroups},
      howpublished = {Cryptology ePrint Archive, Paper 2021/444},
      year = {2021},
      note = {\url{https://eprint.iacr.org/2021/444}},
      url = {https://eprint.iacr.org/2021/444}
}
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