论奇数周期广义循环序列的线性复杂性

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki Pub Date : 2024-07-24 DOI:10.26907/2541-7746.2024.2.162-172

V. Edemskiy

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摘要

对具有奇数周期的新广义循环序列的线性复杂性进行了估算。这些序列是用广义旋律类复合模来定义的。研究获得了具有高线性复杂度的二进制和非二进制序列存在的必要条件。早先关于周期等于素数幂的序列的线性复杂性的结果得到了推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Linear Complexity of Generalized Cyclotomic Sequences with Odd Period

The linear complexity of new generalized cyclotomic sequences with odd period was estimated. The sequences were deﬁned using generalized cyclotomic classes composite modulo. Conditions suﬃcient for the existence of binary and non-binary sequences with high linear complexity were obtained. The earlier results on the linear complexity of sequences with the period equal to the power of a prime were generalized.

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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki

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