Matches in SemOpenAlex for { <https://semopenalex.org/work/W2048282328> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2048282328 endingPage "40" @default.
- W2048282328 startingPage "21" @default.
- W2048282328 abstract "Cauchy codes are a class of maximum distance separable codes that include Reed-Solomon codes, singly- and doubly-extended Reed-Solomon codes, and reversible BCH over GF(2m) of length 2m+1. The decoding problem for Cauchy codes is studied by using an analogue of the classical theory of apolarity of binary forms, and Berlekamp's decoding algorithm for Reed-Solomon codes is extended to Cauchy codes. The covering radius of a Cauchy code over GF(q) of length n and minimum distance d is shown to be either d−2 or d−1, and the exact value is determined unless n = q + 1 and q⧸2+3<d<q. If n = q + 1 and d = q is even, the covering radius is q − 1, and the determination of all cosets with leaders of weight q − 1 is equivalent to the determination of all ovals with q + 2 points in the projective plane." @default.
- W2048282328 created "2016-06-24" @default.
- W2048282328 creator A5034703005 @default.
- W2048282328 date "1991-06-01" @default.
- W2048282328 modified "2023-10-16" @default.
- W2048282328 title "The decoding of extended Reed-Solomon codes" @default.
- W2048282328 cites W16887217 @default.
- W2048282328 cites W1969096799 @default.
- W2048282328 cites W1992183350 @default.
- W2048282328 cites W1997772212 @default.
- W2048282328 cites W2020484625 @default.
- W2048282328 cites W2058838206 @default.
- W2048282328 cites W2061948965 @default.
- W2048282328 cites W2081409716 @default.
- W2048282328 cites W2125296084 @default.
- W2048282328 cites W2126655674 @default.
- W2048282328 cites W2153936403 @default.
- W2048282328 doi "https://doi.org/10.1016/0012-365x(91)90093-h" @default.
- W2048282328 hasPublicationYear "1991" @default.
- W2048282328 type Work @default.
- W2048282328 sameAs 2048282328 @default.
- W2048282328 citedByCount "13" @default.
- W2048282328 countsByYear W20482823282016 @default.
- W2048282328 countsByYear W20482823282017 @default.
- W2048282328 countsByYear W20482823282019 @default.
- W2048282328 countsByYear W20482823282021 @default.
- W2048282328 countsByYear W20482823282023 @default.
- W2048282328 crossrefType "journal-article" @default.
- W2048282328 hasAuthorship W2048282328A5034703005 @default.
- W2048282328 hasConcept C11413529 @default.
- W2048282328 hasConcept C114614502 @default.
- W2048282328 hasConcept C118615104 @default.
- W2048282328 hasConcept C134306372 @default.
- W2048282328 hasConcept C157125643 @default.
- W2048282328 hasConcept C169021753 @default.
- W2048282328 hasConcept C178635117 @default.
- W2048282328 hasConcept C204397858 @default.
- W2048282328 hasConcept C33923547 @default.
- W2048282328 hasConcept C38652104 @default.
- W2048282328 hasConcept C41008148 @default.
- W2048282328 hasConcept C42276685 @default.
- W2048282328 hasConcept C57273362 @default.
- W2048282328 hasConcept C70710897 @default.
- W2048282328 hasConcept C78065487 @default.
- W2048282328 hasConcept C78944582 @default.
- W2048282328 hasConcept C85307737 @default.
- W2048282328 hasConceptScore W2048282328C11413529 @default.
- W2048282328 hasConceptScore W2048282328C114614502 @default.
- W2048282328 hasConceptScore W2048282328C118615104 @default.
- W2048282328 hasConceptScore W2048282328C134306372 @default.
- W2048282328 hasConceptScore W2048282328C157125643 @default.
- W2048282328 hasConceptScore W2048282328C169021753 @default.
- W2048282328 hasConceptScore W2048282328C178635117 @default.
- W2048282328 hasConceptScore W2048282328C204397858 @default.
- W2048282328 hasConceptScore W2048282328C33923547 @default.
- W2048282328 hasConceptScore W2048282328C38652104 @default.
- W2048282328 hasConceptScore W2048282328C41008148 @default.
- W2048282328 hasConceptScore W2048282328C42276685 @default.
- W2048282328 hasConceptScore W2048282328C57273362 @default.
- W2048282328 hasConceptScore W2048282328C70710897 @default.
- W2048282328 hasConceptScore W2048282328C78065487 @default.
- W2048282328 hasConceptScore W2048282328C78944582 @default.
- W2048282328 hasConceptScore W2048282328C85307737 @default.
- W2048282328 hasIssue "1" @default.
- W2048282328 hasLocation W20482823281 @default.
- W2048282328 hasOpenAccess W2048282328 @default.
- W2048282328 hasPrimaryLocation W20482823281 @default.
- W2048282328 hasRelatedWork W1489224124 @default.
- W2048282328 hasRelatedWork W1562578175 @default.
- W2048282328 hasRelatedWork W1570954324 @default.
- W2048282328 hasRelatedWork W1866038923 @default.
- W2048282328 hasRelatedWork W2048282328 @default.
- W2048282328 hasRelatedWork W2133789648 @default.
- W2048282328 hasRelatedWork W2140424600 @default.
- W2048282328 hasRelatedWork W2394693224 @default.
- W2048282328 hasRelatedWork W2480341677 @default.
- W2048282328 hasRelatedWork W2593180507 @default.
- W2048282328 hasVolume "90" @default.
- W2048282328 isParatext "false" @default.
- W2048282328 isRetracted "false" @default.
- W2048282328 magId "2048282328" @default.
- W2048282328 workType "article" @default.