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- W2952664992 abstract "We study $q$-ary codes with distance defined by a partial order of the coordinates of the codewords. Maximum Distance Separable (MDS) codes in the poset have been studied in a number of earlier works. We consider codes that are close to MDS codes by the value of their minimum distance. For such codes, we determine their weight distribution, and in the particular case of the metric characterize distributions of points in the unit cube defined by the codes. We also give some constructions of codes in the ordered Hamming space." @default.
- W2952664992 created "2019-06-27" @default.
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- W2952664992 date "2010-01-01" @default.
- W2952664992 modified "2023-09-23" @default.
- W2952664992 title "Near MDS poset codes and distributions" @default.
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- W2952664992 doi "https://doi.org/10.1090/conm/523/10320" @default.
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