DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hyun, Jong Yoon | - |
dc.contributor.author | Kim, Hyun Kwang | - |
dc.contributor.author | Wu, Yansheng | - |
dc.contributor.author | Yue, Qin | - |
dc.date.accessioned | 2021-06-01T04:05:27Z | - |
dc.date.available | 2021-06-01T04:05:27Z | - |
dc.date.created | 2020-10-08 | - |
dc.date.issued | 2020-12 | - |
dc.identifier.issn | 0925-1022 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/105410 | - |
dc.description.abstract | Recently, some infinite families of minimal and optimal binary linear codes were constructed from simplicial complexes by Hyun et al. We extend this construction method to arbitrary posets. Especially, anti-chains are corresponded to simplicial complexes. In this paper, we present two constructions of binary linear codes from hierarchical posets of two levels. In particular, we determine the weight distributions of binary linear codes associated with hierarchical posets with two levels. Based on these results, we also obtain some optimal and minimal binary linear codes not satisfying the condition of Ashikhmin-Barg. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.relation.isPartOf | DESIGNS CODES AND CRYPTOGRAPHY | - |
dc.title | Optimal minimal linear codes from posets | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s10623-020-00793-0 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | DESIGNS CODES AND CRYPTOGRAPHY, v.88, no.12, pp.2475 - 2492 | - |
dc.identifier.wosid | 000569047000001 | - |
dc.citation.endPage | 2492 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 2475 | - |
dc.citation.title | DESIGNS CODES AND CRYPTOGRAPHY | - |
dc.citation.volume | 88 | - |
dc.contributor.affiliatedAuthor | Kim, Hyun Kwang | - |
dc.identifier.scopusid | 2-s2.0-85090778400 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | WEIGHT ENUMERATORS | - |
dc.subject.keywordAuthor | Poset | - |
dc.subject.keywordAuthor | Optimal binary linear code | - |
dc.subject.keywordAuthor | Minimal binary linear code | - |
dc.subject.keywordAuthor | Weight distribution | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Theory & Methods | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Mathematics | - |
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