Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2020-12-21T16:30:03Z | - |
dc.date.available | 2020-12-21T16:30:03Z | - |
dc.date.issued | 2020 | * |
dc.identifier.issn | 0925-1022 | * |
dc.identifier.issn | 1573-7586 | * |
dc.identifier.other | OAK-28336 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/255745 | - |
dc.description.abstract | We classify all the cyclic self-dual codes of length p(k) over the finite chain ring R := Z(p)[u]/< u(3)>, which is not a Galois ring, where p is a prime number and k is a positive integer. First, we find all the dual codes of cyclic codes over R of length p(k) for every prime p. We then prove that if a cyclic code over R of length p(k) is self-dual, then p should be equal to 2. Furthermore, we completely determine the generators of all the cyclic self-dual codes over Z(p)[u]/< u(3)> of length 2(k). Finally, we obtain a mass formula for counting cyclic self-dual codes over Z(p)[u]/< u(3)> of length 2(k). | * |
dc.language | English | * |
dc.publisher | SPRINGER | * |
dc.subject | Self-dual code | * |
dc.subject | Cyclic code | * |
dc.subject | Chain ring | * |
dc.subject | Mass formula | * |
dc.subject | Generator | * |
dc.subject | ideal | * |
dc.title | Classification of self-dual cyclic codes over the chain ring Z(p)[u]/< u(3)> | * |
dc.type | Article | * |
dc.relation.issue | 10 | * |
dc.relation.volume | 88 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 2247 | * |
dc.relation.lastpage | 2273 | * |
dc.relation.journaltitle | DESIGNS CODES AND CRYPTOGRAPHY | * |
dc.identifier.doi | 10.1007/s10623-020-00776-1 | * |
dc.identifier.wosid | WOS:000543673800001 | * |
dc.identifier.scopusid | 2-s2.0-85087318364 | * |
dc.author.google | Kim, Boran | * |
dc.author.google | Lee, Yoonjin | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |