Hижние оценки рангов координатных последовательностей линейных рекуррент максимального периода над собственным кольцом Галуа

DOI10.4213/mvk200zbMath1476.11031OpenAlexW2792256007MaRDI QIDQ3381846

V. N. Tsypyshev

Publication date: 20 September 2021

Published in: Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mvk200

zbMATH Keywords

Galois ringlinear recurrent sequencecoordinate sequencerank of sequence

Mathematics Subject Classification ID

Recurrences (11B37) Finite fields and commutative rings (number-theoretic aspects) (11T99) Special sequences and polynomials (11B83)

Cites Work

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• The second coordinate sequence of a linear recurrence of maximal period over a nontrivial Galois ring of odd characteristic
• Binary sequences of period \(2^m-1\) with large linear complexity
• Kerdock code in a cyclic form
• The first coordinate sequence of a linear recurrence of maximal period over a Galois ring
• Linear recurrence sequences over commutative rings
• CYCLE TYPES OF LINEAR SUBSTITUTIONS OVER FINITE COMMUTATIVE RINGS
• Linear and polylinear recurring sequences over Abelian groups and modules.

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