New cyclic relative difference sets constructed from d-homogeneous functions with difference-balanced property
DC Field | Value | Language |
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dc.contributor.author | Kim, SH | - |
dc.contributor.author | No, JS | - |
dc.contributor.author | Chung, HB | - |
dc.contributor.author | Helleseth, T | - |
dc.date.accessioned | 2022-02-17T03:42:36Z | - |
dc.date.available | 2022-02-17T03:42:36Z | - |
dc.date.created | 2022-02-17 | - |
dc.date.issued | 2005-03 | - |
dc.identifier.issn | 0018-9448 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25209 | - |
dc.description.abstract | For a prime power q, we show that a cyclic relative difference set with parameters (q(n)-1/q-1, q(n-1), q(n-2)) can be constructed from a d-homogeneous function from F, \ fO I onto Fq with difference-balanced property, where F-qn is the finite field with q(n) elements. This construction method enables us to construct several new cyclic relative difference sets with parameters (p(n)-1/p(l)-1, p(l)-1, p(n-l) , p(n-2l)) from p-ary sequences of period p(n)-1 with ideal autocorrelation property introduced by Helleseth and Gong. Using a lifting idea, other new cyclic relative difference sets can be constructed from the Helleseth-Gong (HG) sequences. Also, the 3-ranks and the trace representation of the characteristic sequences of cyclic relative difference sets from a specific class of ternary HG sequences and ternary Lin sequences are derived. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | - |
dc.subject | IDEAL 2-LEVEL AUTOCORRELATION | - |
dc.subject | D-FORM SEQUENCES | - |
dc.subject | P-RANKS | - |
dc.subject | HADAMARD MATRICES | - |
dc.title | New cyclic relative difference sets constructed from d-homogeneous functions with difference-balanced property | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Chung, HB | - |
dc.identifier.doi | 10.1109/TIT.2004.842712 | - |
dc.identifier.wosid | 000227204100030 | - |
dc.identifier.bibliographicCitation | IEEE TRANSACTIONS ON INFORMATION THEORY, v.51, no.3, pp.1155 - 1163 | - |
dc.relation.isPartOf | IEEE TRANSACTIONS ON INFORMATION THEORY | - |
dc.citation.title | IEEE TRANSACTIONS ON INFORMATION THEORY | - |
dc.citation.volume | 51 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1155 | - |
dc.citation.endPage | 1163 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Information Systems | - |
dc.relation.journalWebOfScienceCategory | Engineering, Electrical & Electronic | - |
dc.subject.keywordPlus | IDEAL 2-LEVEL AUTOCORRELATION | - |
dc.subject.keywordPlus | D-FORM SEQUENCES | - |
dc.subject.keywordPlus | P-RANKS | - |
dc.subject.keywordPlus | HADAMARD MATRICES | - |
dc.subject.keywordAuthor | cyclic difference sets | - |
dc.subject.keywordAuthor | cyclic relative difference sets | - |
dc.subject.keywordAuthor | d-homogeneous | - |
dc.subject.keywordAuthor | functions | - |
dc.subject.keywordAuthor | p-rank | - |
dc.subject.keywordAuthor | sequences | - |
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