Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2021-12-28T16:30:04Z | - |
dc.date.available | 2021-12-28T16:30:04Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 1071-5797 | * |
dc.identifier.other | OAK-30617 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/259684 | - |
dc.description.abstract | We find a building-up type construction method for self-orthogonal codes over Z4 arising from the chain ring Z4[u]/〈u2+1〉. Our construction produces self-orthogonal codes over Z4 with increased lengths and free ranks from given self-orthogonal codes over Z4 with smaller lengths and free ranks; in the most of the cases their minimum weights are also increased. Furthermore, any self-orthogonal code over Z4 with generator matrix subject to certain conditions can be obtained from our construction. Employing our construction method, we obtain at least 125 new self-orthogonal codes over Z4 up to equivalence; among them, there are 35 self-orthogonal codes which are distance-optimal. Furthermore, we have eight self-orthogonal codes, which are distance-optimal among all linear codes over Z4 with the same type. As a method, we use additive codes over the finite ring Z4[u]/〈u2+1〉 with generator matrices G satisfying GGT=O, and we use a new Gray map from Z4[u]/〈u2+1〉 to Z43 as well. © 2021 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Additive code | * |
dc.subject | Chain ring | * |
dc.subject | Gray map | * |
dc.subject | Optimal code | * |
dc.subject | Self-orthogonal code | * |
dc.title | Self-orthogonal codes over Z4 arising from the chain ring Z4[u]/〈u2+1〉 | * |
dc.type | Article | * |
dc.relation.volume | 78 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Finite Fields and their Applications | * |
dc.identifier.doi | 10.1016/j.ffa.2021.101972 | * |
dc.identifier.wosid | WOS:000724935500007 | * |
dc.identifier.scopusid | 2-s2.0-85119695035 | * |
dc.author.google | Kim B. | * |
dc.author.google | Han N. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |