关于二元割圆序列的k-错线性复杂度

陈智雄; 吴晨煌

doi:10.11959/j.issn.1000-436x.2019034

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关于二元割圆序列的k-错线性复杂度

学术通信 | 更新时间：2024-06-05

- 关于二元割圆序列的k-错线性复杂度
- k-error linear complexity of binary cyclotomic generators
- 通信学报 2019年40卷第2期页码：197-206
- 作者机构：
  
  1. 莆田学院福建省高校应用数学重点实验室，福建莆田 351100
  2. 电子科技大学计算机科学与工程学院，四川成都 611731
- 作者简介：
  
  [ "陈智雄（1972– ），男，福建莆田人，博士，莆田学院教授,主要研究方向为序列密码。" ]
  [ "吴晨煌（1981– ），男，福建莆田人，莆田学院副教授，电子科技大学博士生，主要研究方向为序列密码。" ]
- 基金信息：
  
  国家自然科学基金资助项目(61772292);国家自然科学基金国际合作交流基金资助项目(6181101289);福建省自然科学基金资助项目(2018J01425);福建省高校创新团队培育计划基金资助项目(2018-49)
- DOI：10.11959/j.issn.1000-436x.2019034
  中图分类号： TP309
- 网络首发：2019-02，
  
  纸质出版：2019-02-25
- 稿件说明：
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陈智雄, 吴晨煌. 关于二元割圆序列的k-错线性复杂度[J]. 通信学报, 2019,40(2):197-206.

Zhixiong CHEN, Chenhuang WU. k-error linear complexity of binary cyclotomic generators[J]. Journal on Communications, 2019, 40(2): 197-206.
陈智雄, 吴晨煌. 关于二元割圆序列的k-错线性复杂度[J]. 通信学报, 2019,40(2):197-206. DOI： 10.11959/j.issn.1000-436x.2019034.

Zhixiong CHEN, Chenhuang WU. k-error linear complexity of binary cyclotomic generators[J]. Journal on Communications, 2019, 40(2): 197-206. DOI： 10.11959/j.issn.1000-436x.2019034.

摘要

应用伪随机序列的离散傅里叶变换，讨论了周期为素数p的Legendre序列、Ding-Helleseth-Lam 序列及Hall六次剩余序列的k-错线性复杂度。具体地，首先确定了上述3种序列的1-错线性复杂度，其次对k≥2，以及2模p的阶的一些特殊取值，讨论了相应序列的k-错线性复杂度。

Abstract

In terms of the discrete Fourier transforms

the k-error linear complexities over F

were discussed for Legendre

Ding-Helleseth-Lam

and Hall's sextic residue sequences of odd prime period p.More precisely

the 1-error linear complexities of these sequences were determined.Then

with some special restrictions of the order of 2 modulo p

partial results on their k-error linear complexities (k≥2) were proved.

关键词

Keywords

references

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