Sidel 'nikov序列M-ary序列的平衡、模式分布和线性复杂度

IF 0.6 4区工程技术 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Applicable Algebra in Engineering Communication and Computing Pub Date : 2022-09-07 DOI:10.1007/s00200-022-00580-5

Huaning Liu, Yixin Ren

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引用次数: 0

摘要

Kim、Chung、No 和 Chung 利用 Sidel'nikov 序列和移位加法引入了新的 Mary 序列族。Chung、No 和 Chung 基于 Sidel'nikov 序列和移位加逆法构建了更多的 Mary 序列族。在本文中，我们进一步研究了这些序列的平衡性，并证明在序列参数的一些假设条件下，它们具有渐近均匀模式分布。本文还研究了这些序列的线性复杂性剖面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Balance, pattern distribution and linear complexity of M-ary sequences from Sidel’nikov sequences

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Balance, pattern distribution and linear complexity of M-ary sequences from Sidel’nikov sequences

Kim, Chung, No and Chung introduced new families of M-ary sequences by using Sidel’nikov sequences and the shift-and-add method. Chung, No and Chung constructed more families of M-ary sequences based on Sidel’nikov sequences and the shift-and-inverse method. In this paper we further study the balancedness of these sequences and show that they have asymptotical uniform pattern distributions under some assumptions on the parameters of the sequences. Linear complexity profiles of the sequences are also studied.

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来源期刊

Applicable Algebra in Engineering Communication and Computing 工程技术-计算机：跨学科应用

CiteScore

2.90

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Algebra is a common language for many scientific domains. In developing this language mathematicians prove theorems and design methods which demonstrate the applicability of algebra. Using this language scientists in many fields find algebra indispensable to create methods, techniques and tools to solve their specific problems. Applicable Algebra in Engineering, Communication and Computing will publish mathematically rigorous, original research papers reporting on algebraic methods and techniques relevant to all domains concerned with computers, intelligent systems and communications. Its scope includes, but is not limited to, vision, robotics, system design, fault tolerance and dependability of systems, VLSI technology, signal processing, signal theory, coding, error control techniques, cryptography, protocol specification, networks, software engineering, arithmetics, algorithms, complexity, computer algebra, programming languages, logic and functional programming, algebraic specification, term rewriting systems, theorem proving, graphics, modeling, knowledge engineering, expert systems, and artificial intelligence methodology. Purely theoretical papers will not primarily be sought, but papers dealing with problems in such domains as commutative or non-commutative algebra, group theory, field theory, or real algebraic geometry, which are of interest for applications in the above mentioned fields are relevant for this journal. On the practical side, technology and know-how transfer papers from engineering which either stimulate or illustrate research in applicable algebra are within the scope of the journal.