Ch. Wei et al., HIGH-SPEED REED-SOLOMON DECODER FOR CORRECTING ERRORS AND ERASURES, IEE proceedings. Part I. Communications, speech and vision, 140(4), 1993, pp. 246-254
A Reed-Solomon decoder for errors-and-erasures correction, based on a
new algebraic decoding algorithm, is presented. This high-speed decode
r requires only n clock cycles for decoding each received n-symbol blo
ck. A serial structure that requires very few multipliers and provides
a general expression to calculate the coefficients of the erasure-loc
ator polynomial is also presented. A (15, 11) RS decoder and its short
ened version (7, 3) RS decoder are used as design examples to illustra
te the operating procedure of the new decoding algorithm.