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 $\mathbb{G}$, the complexity of mounting a differential attack against this type of substitution permutation network is the same as attacking another symmetric structure based on $\mathbb{G}$. 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
Creative Commons Attribution-NonCommercial-ShareAlike
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},
      note = {\url{https://eprint.iacr.org/2022/1638}},
      url = {https://eprint.iacr.org/2022/1638}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.