On MDS codes via Cauchy matrices |
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Authors: | Roth R.M. Lempel A. |
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Affiliation: | Dept. of Comput. Sci., Technion, Haifa; |
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Abstract: | A special form of Cauchy matrix is used to obtain a tighter bound for the validity region of the maximum distance separable (MDS) conjecture and a new compact characterization of generalized Reed-Solomon codes. The latter is further used to obtain constructions and some existence results for long [2k, k] double-circulant MDS codes |
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