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The Weights in MDS Codes
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The Weights in MDS Codes
classification
cs.IT
math.IT
keywords
codesweightscasescodeconjecturecontaincoveringdimension
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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
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