Complete weight enumerators of some linear codes and their applications

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dc.contributor.authorLi, Chengjuko
dc.contributor.authorBae, Sunghanko
dc.contributor.authorAhn, Jaehyunko
dc.contributor.authorYang, Shudiko
dc.contributor.authorYao, Zheng-Anko
dc.date.accessioned2016-10-04T08:56:23Z-
dc.date.available2016-10-04T08:56:23Z-
dc.date.created2016-09-21-
dc.date.created2016-09-21-
dc.date.issued2016-10-
dc.identifier.citationDESIGNS CODES AND CRYPTOGRAPHY, v.81, no.1, pp.153 - 168-
dc.identifier.issn0925-1022-
dc.identifier.urihttp://hdl.handle.net/10203/213149-
dc.description.abstractRecently, linear codes constructed from defining sets have been extensively studied. It was shown that the linear codes may have a few nonzero weights or be optimal if the defining sets are well chosen. The weight enumerators of these linear codes were also presented. In this paper, we investigate the complete weight enumerators of some linear codes constructed from the defining sets. As applications, we employ the explicit complete weight enumerators of the linear codes to construct constant composition codes and systematic authentication codes. A new class of optimal constant composition codes and three classes of asymptotically optimal systematic authentication codes are presented-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectCONSTANT-COMPOSITION CODES-
dc.subjectDIFFERENCE BALANCED FUNCTIONS-
dc.subjectREDUCIBLE CYCLIC CODES-
dc.subjectAUTHENTICATION CODES-
dc.subjectPERMUTATION ARRAYS-
dc.subjectCONSTRUCTIONS-
dc.subject3-WEIGHT-
dc.titleComplete weight enumerators of some linear codes and their applications-
dc.typeArticle-
dc.identifier.wosid000381138500010-
dc.identifier.scopusid2-s2.0-84944580651-
dc.type.rimsART-
dc.citation.volume81-
dc.citation.issue1-
dc.citation.beginningpage153-
dc.citation.endingpage168-
dc.citation.publicationnameDESIGNS CODES AND CRYPTOGRAPHY-
dc.identifier.doi10.1007/s10623-015-0136-9-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorLi, Chengju-
dc.contributor.nonIdAuthorAhn, Jaehyun-
dc.contributor.nonIdAuthorYang, Shudi-
dc.contributor.nonIdAuthorYao, Zheng-An-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorComplete weight enumerators-
dc.subject.keywordAuthorLinear codes-
dc.subject.keywordAuthorExponential sums-
dc.subject.keywordAuthorConstant composition codes-
dc.subject.keywordAuthorAuthentication codes-
dc.subject.keywordPlusCONSTANT-COMPOSITION CODES-
dc.subject.keywordPlusDIFFERENCE BALANCED FUNCTIONS-
dc.subject.keywordPlusREDUCIBLE CYCLIC CODES-
dc.subject.keywordPlusAUTHENTICATION CODES-
dc.subject.keywordPlusPERMUTATION ARRAYS-
dc.subject.keywordPlusCONSTRUCTIONS-
dc.subject.keywordPlus3-WEIGHT-
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