具有良好自相关性的新四元序列的四进复杂度

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

Applicable Algebra in Engineering Communication and Computing Pub Date : 2023-09-21 DOI:10.1007/s00200-023-00623-5

Yan Wang, Jiawei Li, Nian Li, Yanxi Fu

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引用次数: 0

摘要

四进复杂度高的四元序列在通信和密码系统中引起了广泛的关注。对于奇素数p，利用周期为p的Legendre序列构造了几类新的偶周期为2p的四元序列，并给出了这些四元序列的自相关分布。我们确定了这些新的四元序列的四进复杂度。结果表明，新四元序列具有良好的自相关特性，且新四元序列的四进复杂度足以抵抗有理逼近算法的攻击。

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The 4-adic complexity of new quaternary sequences with good autocorrelation

Quaternary sequences with high 4-adic complexity have attracted widespread attention in communication and cryptography systems. In this paper, for an odd prime p, several new classes of quaternary sequences with even period 2p are constructed by using the Legendre sequences of period p. And the autocorrelation distribution of the new quaternary sequences is derived. We determine the 4-adic complexity of these new quaternary sequences. The results show that the new quaternary sequences have good autocorrelation properties, and the 4-adic complexity of these new quaternary sequences is large enough to resist the attack of the rational approximation algorithm.

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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.