Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2019, Volume 10, Issue 1, Pages 11–26
DOI: https://doi.org/10.4213/mvk274 (Mi mvk274) 		 
On $2$-transitive products of three regular permutation groups of a finite field

M. M. Glukhov

Academy of Cryptography of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk274
Abstract: Let $G_n$ be a right regular representation of the group $(GF(2^n),\oplus)$. We describe some classes of permutations $h$ of the field $GF(2^n)$ such that the set $(G_n h)^3$ is $2$-transitive.
Key words: finite fields, differentially uniform permutations, $2$-transitivity.
Received 18.IV.2018
Bibliographic databases:
Document Type: Article
UDC: 519.542.7+519.719.2
Language: Russian
Citation: M. M. Glukhov, “On $2$-transitive products of three regular permutation groups of a finite field”, Mat. Vopr. Kriptogr., 10:1 (2019), 11–26
Citation in format AMSBIB
\Bibitem{Glu19}
\by M.~M.~Glukhov
\paper On $2$-transitive products of three regular permutation groups of a finite field
\jour Mat. Vopr. Kriptogr.
\yr 2019
\vol 10
\issue 1
\pages 11--26
\mathnet{http://mi.mathnet.ru/mvk274}
\crossref{https://doi.org/10.4213/mvk274}
\elib{https://elibrary.ru/item.asp?id=37652159}
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