The Weights in MDS Codes
arXiv:0908.1669 · doi:10.1109/TIT.2010.2090246
Abstract
The weights in MDS codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional cases, the MDS codes with parameters given by the MDS conjecture are shown to contain all k weights in the range n-k+1 to n. The proof uses the covering radius of the dual code
5 pages, submitted to IEEE Trans. IT. This version 2 is the revised version after the refereeing process. Accepted for publication
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