多项式的移位合成分解

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI:10.1515/dma-2023-0009

V. Nozdrunov

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引用次数: 0

摘要

摘要V.I.Solodovnikov利用移位合成运算将移位寄存器的同态研究成线性自动机；在他的论文中，导出了移位寄存器不存在非平凡内同态的条件。移位合成运算的左分量的线性条件在相应的多项式分解中发挥了重要作用。在本文中，我们考虑左分量是属于更广泛类的函数的情况，该类包括线性函数类。

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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Decomposition of polynomials using the shift-composition operation

Abstract V. I. Solodovnikov had employed the shift-composition operation to investigate homomorphisms of shift registers into linear automata; in his papers, conditions for the absence of nontrivial inner homomorphisms of shift registers were derived. An essential role was played by the condition of linearity of the left component of the shift-composition operation in the corresponding polynomial decomposition. In this paper we consider the case where the left component is a function belonging to a wider class, which includes the class of linear functions.

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来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.