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dc.contributor.author이혜숙-
dc.contributor.author이윤진-
dc.date.accessioned2016-08-28T12:08:06Z-
dc.date.available2016-08-28T12:08:06Z-
dc.date.issued2012-
dc.identifier.issn1071-5797-
dc.identifier.otherOAK-8589-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/222474-
dc.description.abstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field F q and linear codes over a ring R=F q[Y]/(Y m-1). Using this correspondence, we prove that every ℓ-quasi-cyclic self-dual code of length mℓ over a finite field F q can be obtained by the building-up construction, provided that char(F q)=2 or q=1(mod4), m is a prime p, and q is a primitive element of F p. We determine possible weight enumerators of a binary ℓ-quasi-cyclic self-dual code of length pℓ (with p a prime) in terms of divisibility by p. We improve the result of Bonnecaze et al. (2003) [3] by constructing new binary cubic (i.e., ℓ-quasi-cyclic codes of length 3ℓ) optimal self-dual codes of lengths 30,36,42,48 (Type I), 54 and 66. We also find quasi-cyclic optimal self-dual codes of lengths 40, 50, and 60. When m=5, we obtain a new 8-quasi-cyclic self-dual [40,20,12] code over F 3 and a new 6-quasi-cyclic self-dual [30,15,10] code over F 4. When m=7, we find a new 4-quasi-cyclic self-dual [28,14,9] code over F 4 and a new 6-quasi-cyclic self-dual [42,21,12] code over F 4. © 2011 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.titleConstruction of quasi-cyclic self-dual codes-
dc.typeArticle-
dc.relation.issue3-
dc.relation.volume18-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.startpage613-
dc.relation.lastpage633-
dc.relation.journaltitleFinite Fields and their Applications-
dc.identifier.doi10.1016/j.ffa.2011.12.006-
dc.identifier.wosidWOS:000301807900012-
dc.identifier.scopusid2-s2.0-84862832226-
dc.author.googleHan S.-
dc.author.googleKim J.-L.-
dc.author.googleLee H.-
dc.author.googleLee Y.-
dc.contributor.scopusid이혜숙(56101914000;8368898800)-
dc.contributor.scopusid이윤진(23100337700)-
dc.date.modifydate20170601140331-
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자연과학대학 > 수학전공 > Journal papers
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