The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p<sup>m+1</sup>q<sup>n+1</sup>

KE Pin-hui; LI Rui-fang; ZHANG Sheng-yuan

doi:10.3969/j.issn.0372-2112.2014.05.028

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The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p^m+1qⁿ⁺¹

更新时间：2025-07-16

- The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p^m+1qⁿ⁺¹
- Acta Electronica Sinica Vol. 42, Issue 5, Pages: 1009-1013(2014)
- 作者机构：
  
  福建师范大学福建省网络安全与密码技术重点实验室,福建,福州,350007
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61102093, No.U1304604)
- DOI：10.3969/j.issn.0372-2112.2014.05.028
  CLC： TN918.1
- Published：2014
- 稿件说明：
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KE Pin-hui, LI Rui-fang, ZHANG Sheng-yuan. The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p^m+1qⁿ⁺¹[J]. Acta Electronica Sinica, 2014, 42(5): 1009-1013.
DOI：

KE Pin-hui, LI Rui-fang, ZHANG Sheng-yuan. The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p^m+1qⁿ⁺¹[J]. Acta Electronica Sinica, 2014, 42(5): 1009-1013. DOI： 10.3969/j.issn.0372-2112.2014.05.028.

摘要

提出了一类新的周期为

和

为不同的奇素数

和

为正整数的广义分圆序列

并计算了该序列的线性复杂度.新构造的序列具有平衡的优点.

Abstract

A new class of generalized cyclotomic binary sequence of length

is proposed in this paper

where p and q are distinct odd primes.The linear complexity of the proposed sequence is also determined.Furthermore

the proposed sequence is balanced.

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Related Institution

State Key Laboratory of Information SecurityChinese Academy of SciencesBeijing 100190China

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⁰

The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length pm+1qn+1

DOI：10.3969/j.issn.0372-2112.2014.05.028

摘要

Abstract

关键词

Keywords

references

The Linear Complexity of a New Class of Generalized Cyclotomic Binary Sequences of Length p^m+1qⁿ⁺¹