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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 2751 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 2735 | - |
dc.citation.title | DESIGNS CODES AND CRYPTOGRAPHY | - |
dc.citation.volume | 90 | - |
dc.contributor.author | Choi, Whan Hyuk | - |
dc.contributor.author | Kim, Jon Lark | - |
dc.date.accessioned | 2023-12-21T13:36:44Z | - |
dc.date.available | 2023-12-21T13:36:44Z | - |
dc.date.created | 2021-12-09 | - |
dc.date.issued | 2022-11 | - |
dc.description.abstract | This paper gives new methods of constructing symmetric self-dual codes over a finite field GF(q) where q is a power of an odd prime. These methods are motivated by the well-known Pless symmetry codes and quadratic double circulant codes. Using these methods, we construct an amount of symmetric self-dual codes over GF(11), GF(19), and GF(23) of every length less than 42. We also find 153 new self-dual codes up to equivalence: they are [32, 16, 12], [36, 18, 13], and [40, 20, 14] codes over GF(11), [36, 18, 14] and [40, 20, 15] codes over GF(19), and [32, 16, 12], [36, 18, 14], and [40, 20, 15] codes over GF(23). They all have new parameters with respect to self-dual codes. Consequently, we improve bounds on the highest minimum distance of self-dual codes, which have not been significantly updated for almost two decades. | - |
dc.identifier.bibliographicCitation | DESIGNS CODES AND CRYPTOGRAPHY, v.90, no.11, pp.2735 - 2751 | - |
dc.identifier.doi | 10.1007/s10623-021-00968-3 | - |
dc.identifier.issn | 0925-1022 | - |
dc.identifier.scopusid | 2-s2.0-85118558275 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/55155 | - |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs10623-021-00968-3 | - |
dc.identifier.wosid | 000714824700001 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | An improved upper bound on self-dual codes over finite fields GF(11), GF(19), and GF(23) | - |
dc.type | Article | - |
dc.description.isOpenAccess | TRUE | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Theory & Methods; Mathematics, Applied | - |
dc.relation.journalResearchArea | Computer Science; Mathematics | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Anti-orthogonal matrix | - |
dc.subject.keywordAuthor | Symmetric self-dual code | - |
dc.subject.keywordAuthor | Optimal code | - |
dc.subject.keywordAuthor | Self-dual code | - |
dc.subject.keywordAuthor | Symmetric generator matrix | - |
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