Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2017, Issue 10, Pages 36–38
DOI: https://doi.org/10.17223/2226308X/10/14 (Mi pdma335) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete Functions

On constructing special APN functions and their link with APN permutations

V. A. Idrisovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/10/14
Abstract: The existence of APN permutation in even dimension is an important open problem on cryptographic Boolean functions. In this paper, we consider an algorithm for constructing $2$-to-$1$ APN functions and searching the corresponding affine functions such that their sum is an APN permutation. As a result, $2$-to-$1$ APN functions in 5 and 6 variables are found. These functions are APN permutations.
Keywords: vector Boolean function, APN function, bijective function, $2$-to-$1$ function, permutation.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-543364
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. A. Idrisova, “On constructing special APN functions and their link with APN permutations”, Prikl. Diskr. Mat. Suppl., 2017, no. 10, 36–38
Citation in format AMSBIB
\Bibitem{Idr17}
\by V.~A.~Idrisova
\paper On constructing special APN functions and their link with APN permutations
\jour Prikl. Diskr. Mat. Suppl.
\yr 2017
\issue 10
\pages 36--38
\mathnet{http://mi.mathnet.ru/pdma335}
\crossref{https://doi.org/10.17223/2226308X/10/14}
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    • This publication is cited in the following 1 articles:
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    		Prikladnaya Diskretnaya Matematika. Supplement
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