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周期pq的广义分圆二元序列线性复杂度

杨波 杜天奇 肖自碧

数学杂志2020,Vol.40Issue(2):139-148,10.
数学杂志2020,Vol.40Issue(2):139-148,10.

周期pq的广义分圆二元序列线性复杂度

LINEAR COMPLEXITY OF GENERALIZED CYCLOTOMIC BINARY SEQUENCES OF PERIOD pq

杨波 1杜天奇 2肖自碧2

作者信息

  • 1. 武汉科技大学冶金工业过程系统科学湖北省重点实验室,湖北武汉 430081
  • 2. 武汉科技大学理学院,湖北武汉 430081
  • 折叠

摘要

Abstract

In this paper, a class of generalized cyclotomic binary sequences of period pq is proposed, where p and q are two distinct odd primes. By using Whiteman's generalized cyclotomy of order 4 and classic cyclotomy of order 2, the sequences are almost balanced and the exact value of their linear complexity is calculated, which shows that the proposed sequences are quite good in terms of the linear complexity.

关键词

二元序列/线性复杂度/分圆/广义分圆序列

Key words

binary sequence/linear complexity/cyclotomy/generalized cyclotomic sequence

分类

数理科学

引用本文复制引用

杨波,杜天奇,肖自碧..周期pq的广义分圆二元序列线性复杂度[J].数学杂志,2020,40(2):139-148,10.

基金项目

Supported by Hubei Province Key Laboratory of Systems Science in Metallur-gical Process (Wuhan University of Science and Technology) (Y201707). (Wuhan University of Science and Technology)

数学杂志

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