Modifications of bijective S-Boxes with linear structures

Kaisa Nyberg*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Pages (from-to)617-625
Number of pages9
JournalCryptography and Communications
Issue number3
Early online date8 Feb 2023
Publication statusPublished - May 2023
MoE publication typeA1 Journal article-refereed


  • APN functions
  • Bijective S-boxes
  • Boolean functions
  • Linear structures
  • Modification of bijective S-boxes


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