The Security of Quasigroups Based Substitution Permutation Networks

George Teseleanu

Paper 2022/1638

The Security of Quasigroups Based Substitution Permutation Networks

George Teseleanu

Abstract

The study of symmetric structures based on quasigroups is relatively new and certain gaps can be found in the literature. In this paper, we want to fill one of these gaps. More precisely, in this work we study substitution permutation networks based on quasigroups that make use of permutation layers that are non-linear relative to the quasigroup operation. We prove that for quasigroups isotopic with a group $G$ , the complexity of mounting a differential attack against this type of substitution permutation network is the same as attacking another symmetric structure based on $G$ . The resulting structure is interesting and new, and we hope that it will form the basis for future secure block ciphers.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. SECITC 2022
Keywords: quasigroups substitution permutation networks differential cryptanalysis
Contact author(s): george teseleanu @ yahoo com
History: 2022-11-25: approved; 2022-11-24: received; See all versions
Short URL: https://ia.cr/2022/1638
License: CC BY-NC-SA

BibTeX

@misc{cryptoeprint:2022/1638,
      author = {George Teseleanu},
      title = {The Security of Quasigroups Based Substitution Permutation Networks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1638},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1638}
}