The Weights in MDS Codes (908)
by
Martianus Frederic Ezerman
,
Markus Grassl
,
Patrick Solé
| Citations: | 4 - 2 self |
BibTeX
@MISC{Ezerman908theweights,
author = {Martianus Frederic Ezerman and Markus Grassl and Patrick Solé},
title = {The Weights in MDS Codes},
year = {908}
}
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Abstract
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. Index Terms—MDS codes, quantum codes, weight distribution, covering radius I.
