The second coordinate sequence of a linear recurrence of maximal period over a nontrivial Galois ring of odd characteristic

DOI10.1515/dma-2017-0005zbMath1395.11136OpenAlexW2603487762MaRDI QIDQ1675522

Vadim N. Tsypyschev

Publication date: 2 November 2017

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2017-0005

zbMATH Keywords

Galois ringlinear recurrent sequencebound for the rankcoordinate sequence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (1)

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

Cites Work

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• Full periodicity of Galois polynomials over nontrivial Galois rings of odd characteristic
• Binary sequences of period \(2^m-1\) with large linear complexity
• Products of linear recurring sequences
• 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
• Representations over Z p n of linear recurring sequence of maximal period over GF( p )

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