Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000492750> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2000492750 endingPage "483" @default.
- W2000492750 startingPage "469" @default.
- W2000492750 abstract "In this paper we revisit an algorithm presented by Chen, Reed, Helleseth, and Troung in [5] for decoding cyclic codes up to their true minimum distance using Grobner basis techniques. We give a geometric characterization of the number of errors, and we analyze the corresponding algebraic characterization. We give a characterization for the error locator polynomial as well. We make these ideas effective using the theory of Grobner bases. We then present an algorithm for computing the reduced Grobner basis over ?2 for the syndrome ideal of cyclic codes, with respect to a lexicographic term ordering. This algorithm does not use Buchberger’s algorithm or the multivariable polynomial division algorithm, but instead uses the form of the generators of the syndrome ideal and an adaptation of the algorithm introduced in [11]. As an application of this algorithm, we present the reduced Grobner basis for the syndrome ideal of the [23, 12, 7] Golay code, and a decoding algorithm." @default.
- W2000492750 created "2016-06-24" @default.
- W2000492750 creator A5070959365 @default.
- W2000492750 creator A5090709139 @default.
- W2000492750 date "1997-12-01" @default.
- W2000492750 modified "2023-09-27" @default.
- W2000492750 title "On the Decoding of Cyclic Codes Using Gröbner Bases" @default.
- W2000492750 cites W1484535627 @default.
- W2000492750 cites W1535234872 @default.
- W2000492750 cites W1594652978 @default.
- W2000492750 cites W1606480398 @default.
- W2000492750 cites W1970481743 @default.
- W2000492750 cites W1986275363 @default.
- W2000492750 cites W2029622487 @default.
- W2000492750 cites W2059522106 @default.
- W2000492750 cites W2071184318 @default.
- W2000492750 cites W2144253890 @default.
- W2000492750 cites W2145738710 @default.
- W2000492750 cites W2153471038 @default.
- W2000492750 cites W2158558186 @default.
- W2000492750 cites W2162442687 @default.
- W2000492750 cites W2171613506 @default.
- W2000492750 cites W2319466955 @default.
- W2000492750 cites W2753467868 @default.
- W2000492750 doi "https://doi.org/10.1007/s002000050084" @default.
- W2000492750 hasPublicationYear "1997" @default.
- W2000492750 type Work @default.
- W2000492750 sameAs 2000492750 @default.
- W2000492750 citedByCount "26" @default.
- W2000492750 countsByYear W20004927502012 @default.
- W2000492750 countsByYear W20004927502013 @default.
- W2000492750 countsByYear W20004927502017 @default.
- W2000492750 countsByYear W20004927502018 @default.
- W2000492750 countsByYear W20004927502019 @default.
- W2000492750 countsByYear W20004927502020 @default.
- W2000492750 countsByYear W20004927502022 @default.
- W2000492750 crossrefType "journal-article" @default.
- W2000492750 hasAuthorship W2000492750A5070959365 @default.
- W2000492750 hasAuthorship W2000492750A5090709139 @default.
- W2000492750 hasBestOaLocation W20004927502 @default.
- W2000492750 hasConcept C11413529 @default.
- W2000492750 hasConcept C33923547 @default.
- W2000492750 hasConcept C41008148 @default.
- W2000492750 hasConcept C57273362 @default.
- W2000492750 hasConcept C94375191 @default.
- W2000492750 hasConceptScore W2000492750C11413529 @default.
- W2000492750 hasConceptScore W2000492750C33923547 @default.
- W2000492750 hasConceptScore W2000492750C41008148 @default.
- W2000492750 hasConceptScore W2000492750C57273362 @default.
- W2000492750 hasConceptScore W2000492750C94375191 @default.
- W2000492750 hasIssue "6" @default.
- W2000492750 hasLocation W20004927501 @default.
- W2000492750 hasLocation W20004927502 @default.
- W2000492750 hasOpenAccess W2000492750 @default.
- W2000492750 hasPrimaryLocation W20004927501 @default.
- W2000492750 hasRelatedWork W2030492936 @default.
- W2000492750 hasRelatedWork W2351992004 @default.
- W2000492750 hasRelatedWork W2352632909 @default.
- W2000492750 hasRelatedWork W2357418711 @default.
- W2000492750 hasRelatedWork W2358034992 @default.
- W2000492750 hasRelatedWork W2367936931 @default.
- W2000492750 hasRelatedWork W2372547243 @default.
- W2000492750 hasRelatedWork W2380207131 @default.
- W2000492750 hasRelatedWork W2383319832 @default.
- W2000492750 hasRelatedWork W2391975280 @default.
- W2000492750 hasVolume "8" @default.
- W2000492750 isParatext "false" @default.
- W2000492750 isRetracted "false" @default.
- W2000492750 magId "2000492750" @default.
- W2000492750 workType "article" @default.