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dc.contributor.author이윤진-
dc.date.accessioned2018-01-11T16:30:37Z-
dc.date.available2018-01-11T16:30:37Z-
dc.date.issued2017-
dc.identifier.issn0018-9448-
dc.identifier.issn1557-9654-
dc.identifier.otherOAK-21614-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/239699-
dc.description.abstractWe present three explicit methods for construction of formally self-dual codes over Z(4). We characterize relations between Lee weight enumerators of formally self-dual codes of length n over Z(4) and those of length n + 2; the first two construction methods are based on these relations. The last construction produces free formally self-dual codes over Z(4). Using these three constructions, we can find free formally self-dual codes over Z(4), as well as non-free formally self-dual codes over Z(4) of all even lengths. We find free or non-free formally self-dual codes over Z(4) of lengths up to ten using our constructions. In fact, we obtain 46 inequivalent formally self-dual codes whose minimum Lee weights are larger than self-dual codes of the same length. Furthermore, we find 19 non-linear extremal binary formally self-dual codes of lengths 12, 16, and 20, up to equivalence, from formally self-dual codes over Z(4) by using the Gray map.-
dc.languageEnglish-
dc.publisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC-
dc.subjectFormally self-dual code-
dc.subjectcode over Z(4)-
dc.subjectLee weight enumerator-
dc.subjectGray map-
dc.subjectnon-linear extremal binary formally self-dual code-
dc.titleConstructions of Formally Self-Dual Codes Over Z(4) and Their Weight Enumerators-
dc.typeArticle-
dc.relation.issue12-
dc.relation.volume63-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.startpage7667-
dc.relation.lastpage7675-
dc.relation.journaltitleIEEE TRANSACTIONS ON INFORMATION THEORY-
dc.identifier.doi10.1109/TIT.2017.2761388-
dc.identifier.wosidWOS:000416211900007-
dc.identifier.scopusid2-s2.0-85031822051-
dc.author.googleYoo, Jinjoo-
dc.author.googleLee, Yoonjin-
dc.author.googleKim, Boreum-
dc.contributor.scopusid이윤진(23100337700)-
dc.date.modifydate20180111134611-
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자연과학대학 > 수학전공 > Journal papers
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