The present invention includes a method and device useful for decoding a Reed-Solomon (N, K) encoded message of m-bit symbols and corresponding syndromes, where N<=2.sup.m -1 and N-K=2t. Systolic calculation cells are used, organized to minimize complexity and computation time. Aspects of the invention include designs for syndrome calculation, division of polynomials over a Galois field, applying Euclid's algorithm, partitioning calculation cell arrays to reduce storage requirements, complexity and computation time, and evaluating an error location and polynomial and an error evaluator polynomial.

La actual invención incluye un método y un dispositivo útiles para descifrar una Caña-Solomon (N, K) mensaje codificado de los símbolos del m-pedacito y los síndromes correspondientes, donde N