O. A. Kozlitin, “Periodical properties of multidimensional polynomial generator over Galois ring. III”, Mat. Vopr. Kriptogr., 11:4 (2020), 49

Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]

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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2020, Volume 11, Issue 4, Pages 49–76
DOI: https://doi.org/10.4213/mvk339 (Mi mvk339)

This article is cited in 2 scientific papers (total in 2 papers)

Periodical properties of multidimensional polynomial generator over Galois ring. III

O. A. Kozlitin

LLC «Sertification Research Center», Moscow

Full-text PDF (507 kB) Citations (2)

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DOI: https://doi.org/10.4213/mvk339

Abstract: Multidimensional polynomial transformations of the Galois ring of characteristics $p^n$ are investigated. Several structural parameters of cycles and paths to cycles in orgraphs of such transforms are computed. For some particular cases the structure of orgraph of transform is described modulo $p^2$.

Key words: polynomial substitution, Galois ring, cycle, path to cycle, tree.

Received 15.V.2020

Document Type: Article

UDC: 519.113.6+519.12+519.719.2

Language: Russian

Citation: O. A. Kozlitin, “Periodical properties of multidimensional polynomial generator over Galois ring. III”, Mat. Vopr. Kriptogr., 11:4 (2020), 49–76

Citation in format AMSBIB

\Bibitem{Koz20}

\by O.~A.~Kozlitin

\paper Periodical properties of multidimensional polynomial generator over Galois ring.~III

\jour Mat. Vopr. Kriptogr.

\yr 2020

\vol 11

\issue 4

\pages 49--76

\mathnet{http://mi.mathnet.ru/mvk339}

\crossref{https://doi.org/10.4213/mvk339}

Linking options:

https://www.mathnet.ru/eng/mvk339

https://doi.org/10.4213/mvk339

https://www.mathnet.ru/eng/mvk/v11/i4/p49

Cycle of papers

Periodic properties of multidimensional polynomial generator over the Galois ring. I
O. A. Kozlitin
Mat. Vopr. Kriptogr., 2018, 9:3, 61–98
Periodical properties of multidimensional polynomial generator over Galois ring. II
O. A. Kozlitin
Mat. Vopr. Kriptogr., 2020, 11:1, 63–100
Periodical properties of multidimensional polynomial generator over Galois ring. III
O. A. Kozlitin
Mat. Vopr. Kriptogr., 2020, 11:4, 49–76
Periodical properties of multidimensional polynomial generator over Galois ring. IV
O. A. Kozlitin
Mat. Vopr. Kriptogr., 2022, 13:4, 69–95

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	119
References:	32

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