Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이혜숙 | * |
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2016-08-28T12:08:06Z | - |
dc.date.available | 2016-08-28T12:08:06Z | - |
dc.date.issued | 2012 | * |
dc.identifier.issn | 1071-5797 | * |
dc.identifier.other | OAK-8589 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/222474 | - |
dc.description.abstract | There 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.language | English | * |
dc.title | Construction of quasi-cyclic self-dual codes | * |
dc.type | Article | * |
dc.relation.issue | 3 | * |
dc.relation.volume | 18 | * |
dc.relation.index | SCI | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 613 | * |
dc.relation.lastpage | 633 | * |
dc.relation.journaltitle | Finite Fields and their Applications | * |
dc.identifier.doi | 10.1016/j.ffa.2011.12.006 | * |
dc.identifier.wosid | WOS:000301807900012 | * |
dc.identifier.scopusid | 2-s2.0-84862832226 | * |
dc.author.google | Han S. | * |
dc.author.google | Kim J.-L. | * |
dc.author.google | Lee H. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이혜숙(56101914000;8368898800;56101902100) | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |