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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

A construction of codes with linearity from two linear codes

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dc.contributor.authorLi, Chengjuko
dc.contributor.authorBae, Sunghanko
dc.contributor.authorYan, Haodeko
dc.date.accessioned2019-03-08T15:36:00Z-
dc.date.available2019-03-08T15:36:00Z-
dc.date.created2017-04-04-
dc.date.issued2017-01-
dc.identifier.citationCRYPTOGRAPHY AND COMMUNICATIONS, v.9, no.1, pp.55 - 69-
dc.identifier.issn1936-2447-
dc.identifier.urihttp://hdl.handle.net/10203/251123-
dc.description.abstractLet F-p be a finite field, where p is a prime. This paper presents a new construction of a code C over F-p2 from two linear codes over F-p, which has F-p-linearity and its minimum distance is equal to its minimum nonzero weight. Based on our construction, we shall determine the weight enumerators of some codes defined by quadratic bent functions and simplex codes. It will be shown that these codes have a few nonzero weights.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectPERFECT NONLINEAR FUNCTIONS-
dc.subjectSECRET SHARING SCHEMES-
dc.subjectCYCLIC CODES-
dc.subjectHAMMING WEIGHTS-
dc.subject3-WEIGHT CODES-
dc.subjectDISTRIBUTIONS-
dc.subject2-WEIGHT-
dc.subjectMAPPINGS-
dc.titleA construction of codes with linearity from two linear codes-
dc.typeArticle-
dc.identifier.wosid000396435300005-
dc.identifier.scopusid2-s2.0-85008312195-
dc.type.rimsART-
dc.citation.volume9-
dc.citation.issue1-
dc.citation.beginningpage55-
dc.citation.endingpage69-
dc.citation.publicationnameCRYPTOGRAPHY AND COMMUNICATIONS-
dc.identifier.doi10.1007/s12095-016-0193-6-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorLi, Chengju-
dc.contributor.nonIdAuthorYan, Haode-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorCodes-
dc.subject.keywordAuthorWeight enumerators-
dc.subject.keywordAuthorQuadratic bent functions-
dc.subject.keywordAuthorSimplex codes-
dc.subject.keywordPlusPERFECT NONLINEAR FUNCTIONS-
dc.subject.keywordPlusSECRET SHARING SCHEMES-
dc.subject.keywordPlusCYCLIC CODES-
dc.subject.keywordPlusHAMMING WEIGHTS-
dc.subject.keywordPlus3-WEIGHT CODES-
dc.subject.keywordPlusDISTRIBUTIONS-
dc.subject.keywordPlus2-WEIGHT-
dc.subject.keywordPlusMAPPINGS-
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