On computing the syndrome polynomial in Reed–Solomon decoder
Elena Costa, Sergei Valentinovich Fedorenko, Peter Trifonov · European Transactions on Telecommunications · 2004
Abstract Application of the cyclotomic fast Fourier transform (FFT) algorithm to the syndrome evaluation problem in classical Reed–Solomon decoders is described. A number of complexity reduction tricks is suggested. Application of the algorithm leads to significant reductions in the complexity of syndrome evaluation. Moreover, automatic generation of the program code implementing the described algorithm is possible. Copyright © 2004 AEI