Cross-correlation distribution of p-ary m-sequence and its p + 1 subsequences
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Seo, Eun-Youn | - |
dc.contributor.author | Kim, Young-Sik | - |
dc.contributor.author | No, Jong-Seon | - |
dc.contributor.author | Shin, Dong-Joon | - |
dc.date.accessioned | 2022-12-21T07:32:38Z | - |
dc.date.available | 2022-12-21T07:32:38Z | - |
dc.date.created | 2022-09-16 | - |
dc.date.issued | 2007-06 | - |
dc.identifier.issn | 2157-8101 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179991 | - |
dc.description.abstract | For an odd prime p, an even integer n, and d = pk + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt+ l),0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period pn - 1 since gcd(d, p n - 1) = p+ 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+l) is derived. The maximum magnitude of their cross-correlation values is 1+p√pn if l = 0 mod p + 1 for n = 0 mod 4 or l = (p + l)/2 mod p + 1 for n = 2 mod 4 and otherwise, 1+ √pn Also by using s(t) and s(dt + l), a new family of p-ary sequences of period pn - 1 is constructed, whose family size is pn and Cmax is 1 + p√pn | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ISIT | - |
dc.title | Cross-correlation distribution of p-ary m-sequence and its p + 1 subsequences | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Shin, Dong-Joon | - |
dc.identifier.doi | 10.1109/ISIT.2007.4557596 | - |
dc.identifier.scopusid | 2-s2.0-51649116851 | - |
dc.identifier.bibliographicCitation | IEEE International Symposium on Information Theory - Proceedings, pp.2511 - 2514 | - |
dc.relation.isPartOf | IEEE International Symposium on Information Theory - Proceedings | - |
dc.citation.title | IEEE International Symposium on Information Theory - Proceedings | - |
dc.citation.startPage | 2511 | - |
dc.citation.endPage | 2514 | - |
dc.type.rims | ART | - |
dc.type.docType | Conference Paper | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | Information-theory | - |
dc.subject.keywordPlus | International symposium | - |
dc.subject.keywordPlus | Odd prime | - |
dc.subject.keywordPlus | Cybernetics | - |
dc.identifier.url | https://ieeexplore.ieee.org/document/4557596 | - |
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