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Matches in SemOpenAlex for { <https://semopenalex.org/work/W1975388679> ?p ?o ?g. }

• W1975388679 abstract "Let C be a linear [n,k,d]-code over GF(q) with k/spl ges/2. If s=n-k+1-d denotes the defect of C, then by the Griesmer bound, d/spl les/(s+1)q. Now, for obvious reasons, we are interested in codes of given defect s for which the minimum distance is maximal, i.e., d=(s+1)q. We classify up to formal equivalence all such linear codes over GF(q). Remember that two codes over GF(q) are formally equivalent if they have the same weight distribution. It turns out that for k/spl ges/3 such codes exist only in dimension 3 and 4 with the ternary extended Golay code, the ternary dual Golay code, and the binary even-weight code as exceptions. In dimension 4 they are related to ovoids in PG(3,q) except the binary extended Hamming code, and in dimension 3 to maximal arcs in PG(2,q)." @default.
• W1975388679 created "2016-06-24" @default.
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• W1975388679 creator A5088477636 @default.
• W1975388679 date "1998-07-01" @default.
• W1975388679 modified "2023-10-17" @default.
• W1975388679 title "A characterization of MMD codes" @default.
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• W1975388679 doi "https://doi.org/10.1109/18.681331" @default.
• W1975388679 hasPublicationYear "1998" @default.
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