On normalized generating sets for GQC codes over Z(2)

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dc.contributor.authorBae, Sunghanko
dc.contributor.authorKang, Pyung-Lyunko
dc.contributor.authorLi, Chengjuko
dc.date.accessioned2017-05-15T05:17:23Z-
dc.date.available2017-05-15T05:17:23Z-
dc.date.created2017-05-08-
dc.date.created2017-05-08-
dc.date.issued2017-05-
dc.identifier.citationFINITE FIELDS AND THEIR APPLICATIONS, v.45, pp.285 - 300-
dc.identifier.issn1071-5797-
dc.identifier.urihttp://hdl.handle.net/10203/223651-
dc.description.abstractLet r(i), be positive integers and R-i = Z(2)[x]/ < x(ri) - 1 > for 1 <= i <= l. Denote R = R-1 x R-2 x ... x R-l. Generalized quasi-cyclic (GQC) code C of length (r(1), r(2),..., r(l)) over Z(2) can be viewed as Z(2) [x]-submodule of R. In this paper, we investigate the algebraic structure of C by presenting its normalized generating set. We also present a method to determine the normalized generating set of the dual code of C, which is derived from the normalized generating set of C. (C) 2016 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectQUASI-CYCLIC CODES-
dc.subjectSTRUCTURAL-PROPERTIES-
dc.titleOn normalized generating sets for GQC codes over Z(2)-
dc.typeArticle-
dc.identifier.wosid000399063100017-
dc.identifier.scopusid2-s2.0-85011811006-
dc.type.rimsART-
dc.citation.volume45-
dc.citation.beginningpage285-
dc.citation.endingpage300-
dc.citation.publicationnameFINITE FIELDS AND THEIR APPLICATIONS-
dc.identifier.doi10.1016/j.ffa.2016.11.017-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorKang, Pyung-Lyun-
dc.contributor.nonIdAuthorLi, Chengju-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorBinary codes-
dc.subject.keywordAuthorGeneralized quasi-cyclic codes-
dc.subject.keywordAuthorDual codes-
dc.subject.keywordPlusQUASI-CYCLIC CODES-
dc.subject.keywordPlusSTRUCTURAL-PROPERTIES-
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