Frequency characteristics of coordinate sequences of linear recurrences over Galois rings
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Publication:5396957
DOI10.1070/IM2013V077N06ABEH002672zbMath1286.11018OpenAlexW2325057245MaRDI QIDQ5396957
Publication date: 4 February 2014
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im2013v077n06abeh002672
exponential sumslinear recurring sequencesGalois ringscoordinate sequencesdistribution of elements in sequences
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Recurrences (11B37) Exponential sums (11T23) Polynomials and finite commutative rings (13M10)
Related Items (12)
Свойства распределений элементов в одном классе последовательностей над кольцами Галуа ⋮ Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method ⋮ The estimates of trigonometric sums and new bounds on a mean value, a sequence and a cryptographic function ⋮ Свойства распределений строк и столбцов для матричных линейных рекуррентных последовательностей первого порядка ⋮ The cross-correlation function of complications of linear recurrent sequences ⋮ Distribution of \(r\)-tuples in one class of uniformly distributed sequences over residue rings ⋮ Equidistributed sequences over finite fields produced by one class of linear recurring sequences over residue rings ⋮ Нелинейность одного класса булевых функций, построенных с использованием двоичных разрядных последовательностей линейных рекуррент над кольцом $\mathbb Z_{2^n}$ ⋮ Параметры одного класса функций, заданных на конечном поле ⋮ Коэффициенты кросс-корреляции разрядных последовательностей равномерных линейных рекуррент над примарным кольцом вычетов ⋮ Bounds on the discrepancy of linear recurring sequences over Galois rings ⋮ Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings
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