燕山大学学报2017，Vol.41Issue(6)：528-533,6.DOI:10.3969/j.issn.1007-791X.2017.06.008
基于奇数阶分圆类的差集偶构造方法研究
Research on construction methods of difference set pairs based on cyclotomic classes of odd orders
摘要
Abstract
Difference set pair is a kind of mathematical tool for the direct constructions of two-level correlation binary sequence pairs, and the characteristic influence of the basic sequences in indirect constructions can be avoided.So difference set pair is widely used in cryptography and encoding theory.In the past, the construction methods of difference set pairs were mainly focused on char-acteristic polynomials, multiplier theorem and multiplier conjecture, and cyclotomic classes of even orders. However, the methods of constructing difference set pairs based on cyclotomic classes of odd orders were studied by few scholars.In this paper, four new clas-ses of unknown difference set pairs are constructed by using cyclotomic classes of odd orders, and the corresponding proofs are given by cyclotomic numbers.A new approach for the construction of difference set pairs is provided, and the number of instances of differ-ence set pairs will be expanded.关键词
差集偶/分圆类/分圆数/二进序列偶Key words
difference set pairs/cyclotomy/cyclotomic number/binary sequence pairs分类
信息技术与安全科学引用本文复制引用
宋晓飞,申利民,贾彦国,赵萌,彭秀平..基于奇数阶分圆类的差集偶构造方法研究[J].燕山大学学报,2017,41(6):528-533,6.基金项目
国家自然科学基金资助项目(61501395, 61601401) （61501395, 61601401）
河北省自然科学基金资助项目(F2016203293) （F2016203293）
