Near MDS poset codes and distributions

Details Near MDS poset codes and distributions Near MDS poset codes and distributions

2010-04-30

arxiv.org/abs/1004.5601v1

Computer Science

Information Theory

13 pages, 1 figure

Scientific paper

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 metric 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 "ordered 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.

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