[1]黄丹芸.三值自相关三元序列偶的新构造[J].延边大学学报(自然科学版),2019,45(02):103-108.
　HUANG Danyun.New constructions of ternary sequence pairs withthree -level autocorrelation[J].Journal of Yanbian University,2019,45(02):103-108.
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三值自相关三元序列偶的新构造

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第45卷 期数: 2019年02期 页码: 103-108 栏目: 基础科学研究 出版日期: 2019-08-12
Title:
New constructions of ternary sequence pairs with three -level autocorrelation
文章编号:
1004-4353(2019)02-0103-06
作者:
黄丹芸1; 2; 3
( 1.泉州师范学院 数学与计算机科学学院; 2.福建省大数据管理新技术与知识工程重点实验室; 3.智能计算与信息处理福建省高等学校重点实验室: 福建 泉州 362000 )
Author(s):
HUANG Danyun1; 2; 3
( 1.School of Mathematics and Computer Science, Quanzhou Normal University; 2.Fujian Provincial Key Laboratory of Data Intensive Computing; 3.Key Laboratory of Intelligent Computing and Information Processing, Fujian Province University: Quanzhou 362000, China )
关键词:
三值自相关三元序列偶;  2阶Whiteman广义分圆类;  分圆数
Keywords:
ternary sequence pairs with three -level autocorrelation;  Whiteman generalized cyclotomic classes of order two;  cyclotomic number
分类号:
O157
文献标志码:
A
摘要:
利用2阶Whiteman广义分圆类构造出4类N=p q的三值自相关三元序列偶,其中p=2f+1, q=2f '+1为不同的奇素数,(f,f ')=1.所构造的4类三值自相关三元序列偶,其相关函数的旁瓣值都很小,且与p、q都无关.该结果扩大了原有三值自相关三元序列偶的数量,可为三值自相关三元序列偶的构造提供新的途径.
Abstract:
Four new families of ternary sequence pairs with three-level autocorrelation with period N=p q are constructed by using Whiteman generalized cyclotomic classes of order two, where p=2f+1 and q=2f '+1 are distinct odd primes,(f,f ')=1. Furthermore, the out-of-phase correlations of the four ternary sequence pairs constructed are all small and are independent to p and q. The results in this paper show that the presentation of these new ternary sequence pairs can expand the number of original ternary sequence pairs with three-level autocorrelation, and provide a new approach to construct ternary sequence pairs with three-level autocorrelation.

参考文献/References:

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备注/Memo

收稿日期: 2019-04-21 基金项目: 福建省中青年教师教育科研项目(JAT160404)
*作者简介: 黄丹芸(1983—),女,讲师,研究方向为序列设计、组合设计.

更新日期/Last Update: 2019-08-12