Title :
On MDS codes via Cauchy matrices
Author :
Roth, Ron M. ; Lempel, A.
Author_Institution :
Dept. of Comput. Sci., Technion, Haifa, Israel
fDate :
11/1/1989 12:00:00 AM
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
Keywords :
codes; matrix algebra; Cauchy matrix; double-circulant MDS codes; generalized Reed-Solomon codes; maximum distance separable codes; Code standards; Computer science; H infinity control; Information theory; Linear code; Reed-Solomon codes;
Journal_Title :
Information Theory, IEEE Transactions on
