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Prikl. Diskr. Mat. Suppl., 2016, Issue 9, Pages 19–21 (Mi pdma299)  

This article is cited in 1 scientific paper (total in 1 paper)

Discrete Functions

On special class of vectorial Boolean functions and the problem of APN permutations existence

V. A. Vitkup

Sobolev Institute of Mathematics, Novosibirsk

Abstract: The existence of APN permutation of even dimension is an important unsolved problem on vectorial Boolean functions. In this paper, we consider the special set of vectorial Boolean functions, such that the sum of any function in the set and an affine vectorial function is a permutation. We study properties of this set and conditions for existence of its nonempty intersection with the set of APN functions.

Keywords: vectorial Boolean function, APN function, bijective function, permutation.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-31-20635


DOI: https://doi.org/10.17223/2226308X/9/7

Full text: PDF file (544 kB)
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Document Type: Article
UDC: 519.7

Citation: V. A. Vitkup, “On special class of vectorial Boolean functions and the problem of APN permutations existence”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 19–21

Citation in format AMSBIB
\Bibitem{Vit16}
\by V.~A.~Vitkup
\paper On special class of vectorial Boolean functions and the problem of APN permutations existence
\jour Prikl. Diskr. Mat. Suppl.
\yr 2016
\issue 9
\pages 19--21
\mathnet{http://mi.mathnet.ru/pdma299}
\crossref{https://doi.org/10.17223/2226308X/9/7}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Idrisova, “O postroenii APN-funktsii spetsialnogo vida i ikh svyazi s vzaimno odnoznachnymi APN-funktsiyami”, PDM. Prilozhenie, 2017, no. 10, 36–38  mathnet  crossref
  • Prikladnaya Diskretnaya Matematika. Supplement
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