三值自相关三元序列偶的新构造  

New constructions of ternary sequence pairs with three -level autocorrelation

作　　者：黄丹芸[1,2,3] HUANG Danyun(School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China;Fujian Provincial Key Laboratory of DataIntensive Computing,Quanzhou 362000,China;Key Laboratory of Intelligent Computing and Information Processing,Fujian Province University,Quanzhou 362000,China)

机构地区：[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

出　　处：《延边大学学报（自然科学版）》2019年第2期103-108,共6页Journal of Yanbian University（Natural Science Edition）

基　　金：福建省中青年教师教育科研项目(JAT160404)

摘　　要：利用2阶Whiteman广义分圆类构造出4类N=pq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.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.

关 键 词：三值自相关三元序列偶 2阶Whiteman广义分圆类 分圆数 

分 类 号：O157[理学—数学]