On MDS codes via Cauchy matrices
Ron M. Roth, Abraham Lempel · IEEE Transactions on Information Theory · 1989
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.>