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- W2148512923 abstract "Let C be an [n,k,d]/sub q/ linear code. The defect of C is the parameter s=s(C)=n-k+1-d. If k/spl ges/m+1/spl ges/2 then by the Griesmer bound d/spl les/(q/sup m/(q-1)/q/sub m/-1)(s+m). The author's interest is in those linear codes having the maximum minimum distance, i.e., d=(q/sup m/(q-1)/q/sup m/-1)(s+m). For m=1 we have d=q(s+1) and the codes are maximum minimum distance (MMD) codes in the sense of Faldum and Willems (see ibid., vol.44, p.1555-58, 1998). Thus we consider MMD codes in a more general sense. We refer to them simply as MMD codes. All MMD codes with m=1 are known up to formal equivalence. Note that two codes are formally equivalent if they have the same weight distribution. The author classifies up to formal equivalence the MMD codes with m/spl ges/2." @default.
- W2148512923 created "2016-06-24" @default.
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- W2148512923 date "1999-01-01" @default.
- W2148512923 modified "2023-09-26" @default.
- W2148512923 title "A characterization of certain Griesmer codes: MMD codes in a more general sense" @default.
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- W2148512923 doi "https://doi.org/10.1109/18.782160" @default.
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