Skew linear recurring sequences of maximal period over Galois rings

DOI10.1007/s10958-012-1054-2zbMath1273.12003OpenAlexW2018066889MaRDI QIDQ1948575

S. N. Zaĭtsev, M. A. Gol'tvanitsa, Alexander A. Nechaev

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1054-2

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Recurrences (11B37) Finite fields (field-theoretic aspects) (12E20) Pseudo-random numbers; Monte Carlo methods (11K45) Finite commutative rings (13M99)

Related Items (9)

A triangular class of skew maximum-period polynomials ⋮ Разрядные последовательности скрученных линейных рекуррент максимального периода над кольцами Галуа ⋮ Расстояние между двоичными представлениями линейных рекуррент над полем $GF(2^k)$ и кольцом $\mathbb{Z}_{2^n}$ ⋮ Linear recurrences over a finite field with exactly two periods ⋮ Скошенные ЛРП максимального периода над кольцами Галуа ⋮ Первая разрядная последовательность скрученной линейной рекурренты максимального периода над кольцом Галуа ⋮ Некоммутативная теорема Гамильтона - Кэли и корни характеристических многочленов скрученных линейных рекуррент над кольцами Галуа ⋮ Equidistant filters based on skew ML-sequences over fields ⋮ Artinian bimodule with quasi-Frobenius bimodule of translations

Cites Work

• Unnamed Item
• Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers
• Block companion singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields
• Efficient linear feedback shift registers with maximal period
• Linear recurring sequences over rings and modules
• A trinomial type of \(\sigma\)-LFSR oriented toward software implementation
• Finite Rings with Applications
• Kerdock code in a cyclic form
• Linear recurrence sequences over commutative rings
• CYCLE TYPES OF LINEAR SUBSTITUTIONS OVER FINITE COMMUTATIVE RINGS
• The Berlekamp–Massey algorithm over finite rings, modules, and bimodules
• FINITE PRINCIPAL IDEAL RINGS
• Linear and polylinear recurring sequences over Abelian groups and modules.

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