Divisible difference sets, relative difference sets and sequences with ideal autocorrelation

ISCAS OpenIR

	Divisible difference sets, relative difference sets and sequences with ideal autocorrelation
	Yan, Tongjiang; Xiao, Guozhen
	2013
发表期刊	INFORMATION SCIENCES
ISSN	0020-0255
卷号	249 页码:143-147
摘要	In this correspondence, we consider the equivalent condition that a sequence possesses ideal autocorrelation function. As we know, for a binary sequence, the equivalent condition is that the characteristic class of this sequence consists of two cyclic difference sets. This paper proves that, for a p-ary sequence with d-form property, the equivalent condition is that its characteristic class consists of one cyclic divisible difference sets and p - 1 relative difference sets. Moreover, a new way to construct cyclic divisible difference sets is presented. (C) 2013 Elsevier Inc. All rights reserved.; In this correspondence, we consider the equivalent condition that a sequence possesses ideal autocorrelation function. As we know, for a binary sequence, the equivalent condition is that the characteristic class of this sequence consists of two cyclic difference sets. This paper proves that, for a p-ary sequence with d-form property, the equivalent condition is that its characteristic class consists of one cyclic divisible difference sets and p - 1 relative difference sets. Moreover, a new way to construct cyclic divisible difference sets is presented. (C) 2013 Elsevier Inc. All rights reserved.
收录类别	SCI
关键词	Sequences Divisible Difference Sets Relative Difference Sets Ideal Autocorrelation Sequences
部门归属	[Yan, Tongjiang] China Univ Petr, Coll Math & Computat Sci, Dongying 257061, Peoples R China. [Yan, Tongjiang] Chinese Acad Sci, Inst Software, State Key Lab Informat Secur, Beijing 100190, Peoples R China. [Xiao, Guozhen] Xidian Univ, ISN Natl Key Lab, Xian 710071, Peoples R China.
语种	英语
WOS记录号	WOS:000324662700012
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/16901
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Yan, Tongjiang,Xiao, Guozhen. Divisible difference sets, relative difference sets and sequences with ideal autocorrelation[J]. INFORMATION SCIENCES,2013,249:143-147.
APA	Yan, Tongjiang,&Xiao, Guozhen.(2013).Divisible difference sets, relative difference sets and sequences with ideal autocorrelation.INFORMATION SCIENCES,249,143-147.
MLA	Yan, Tongjiang,et al."Divisible difference sets, relative difference sets and sequences with ideal autocorrelation".INFORMATION SCIENCES 249(2013):143-147.