Author(s)

S. D. Cardell, J.-J. Climent & V. Requena

Abstract

In this paper a new construction of MDS array codes is introduced. In order to obtain a code with this property, the parity-check matrix is constructed just using a superregular matrix of blocks composed of powers of the companion matrix of a primitive polynomial. Also a decoding algorithm for these codes is introduced. Keywords: array code, MDS code, block linear code, finite field, superregular matrix, companion matrix, primitive polynomial.

Keywords

Keywords: array code, MDS code, block linear code, finite field, superregular matrix, companion matrix, primitive polynomial.