Distance bounds for algebraic geometric codes
DC Field | Value | Language |
---|---|---|
dc.contributor.author | IWAN DUURSMA | - |
dc.contributor.author | RADOSLAV KIROV | - |
dc.contributor.author | 박승국 | - |
dc.date.available | 2021-02-22T13:16:44Z | - |
dc.date.issued | 2011-08 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.issn | 1873-1376 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/12521 | - |
dc.description.abstract | Various methods have been used to obtain improvements of the Goppa lower bound for the minimum distance of an algebraic geometric code. The main methods divide into two categories, and all but a few of the known bounds are special cases of either the Lundell-McCullough floor bound or the Beelen order bound. The exceptions are recent improvements of the floor bound by Guneri, Stichtenoth, and Taskin, and by Duursma and Park, and of the order bound by Duursma and Park, and by Duursma and Kirov. In this paper, we provide short proofs for all floor bounds and most order bounds in the setting of the van Lint and Wilson AB method. Moreover, we formulate unifying theorems for order bounds and formulate the DP and DK order bounds as natural but different generalizations of the Feng-Rao bound for one-point codes. | - |
dc.format.extent | 16 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ELSEVIER SCIENCE B.V. | - |
dc.title | Distance bounds for algebraic geometric codes | - |
dc.type | Article | - |
dc.publisher.location | 앙귈라 | - |
dc.identifier.doi | 10.1016/j.jpaa.2010.10.018 | - |
dc.identifier.scopusid | 2-s2.0-79952485065 | - |
dc.identifier.wosid | 000289386600007 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.215, no.8, pp 1863 - 1878 | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 215 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 1863 | - |
dc.citation.endPage | 1878 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022404910002367 | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Sookmyung Women's University. Cheongpa-ro 47-gil 100 (Cheongpa-dong 2ga), Yongsan-gu, Seoul, 04310, Korea02-710-9127
Copyright©Sookmyung Women's University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.