伪随机二值序列:质量度量和数论构造

IF 0.5 4区计算机科学 Q3 Computer Science

Ieice Transactions on Fundamentals of Electronics Communications and Computer Sciences Pub Date : 2023-05-19 DOI:10.1587/transfun.2023sdi0001

Arne Winterhof

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引用次数: 1

摘要

本文总结了一些数论序列的伪随机性和非随机性的性质，并给出了它们在以下伪随机性度量下的行为:平衡、线性复杂度、k阶相关度量、展开复杂度和2元复杂度。数论数列有Legendre数列和二素数发生器，Thue-Morse数列及其沿平方的子数列，以及整数和多项式的素数数列。

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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Pseudorandom binary sequences: quality measures and number-theoretic constructions

In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity, correlation measure of order $k$, expansion complexity and $2$-adic complexity. The number-theoretic sequences are the Legendre sequence and the two-prime generator, the Thue-Morse sequence and its sub-sequence along squares, and the prime omega sequences for integers and polynomials.

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来源期刊

Ieice Transactions on Fundamentals of Electronics Communications and Computer Sciences COMPUTER SCIENCE, HARDWARE & ARCHITECTURE-COMPUTER SCIENCE, INFORMATION SYSTEMS

CiteScore

1.10

自引率

20.00%

发文量