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| Divisible difference sets, relative difference sets and sequences with ideal autocorrelation | |
| Yan, Tongjiang; Xiao, Guozhen | |
| 2013 | |
| Source | INFORMATION SCIENCES
 |
| ISSN | 0020-0255 |
| Volume | 249Pages:143-147 |
| English Abstract | 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. |
| Indexed Type | SCI |
| Keyword | Sequences Divisible Difference Sets Relative Difference Sets Ideal Autocorrelation Sequences |
| Department | [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. |
| Language | 英语 |
| WOS ID | WOS:000324662700012 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/16901 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
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