Paper 2022/1550 Original: eprint.iacr.org/2022/1550 ↗

Modifications of Bijective S-Boxes with Linear Structures

Kaisa Nyberg
Abstract

Various systematic modifications of vectorial Boolean functions have been used for finding new previously unknown classes of S-boxes with good or even optimal differential uniformity and nonlinearity. In this paper, a new general modification method is given that preserves the bijectivity property of the function in case the inverse of the function admits a linear structure. A previously known construction of such a modification based on bijective Gold functions in odd dimension is a special case of the new method.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2023-02-09: last updated
2022-11-08: published
Short URL
https://ia.cr/2022/1550
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1550,
      author = {Kaisa Nyberg},
      title = {Modifications of Bijective S-Boxes with Linear Structures},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1550},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1550}
}
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