Y.S.Han Decoding BCH/RS Codes 5 where Y eig and Xk=aik. The system of equations for syndromes is S1=YX1+Y2X2+…+Y,X S2=X子+Y2X号+…+YX S3=YiX+Y2X+…+Y,X3 S2t=Yixi+Y2x2+..+Yox2t School of Electrical Engineering Intelligentization,Dongguan University of Technology Y. S. Han Decoding BCH/RS Codes 5 where Yk = eik and Xk = α ik . • The system of equations for syndromes is S1 = Y1X1 + Y2X2 + · · · + YvXv S2 = Y1X2 1 + Y2X2 2 + · · · + YvX2 v S3 = Y1X3 1 + Y2X3 2 + · · · + YvX3 v . . . S2t = Y1X2t 1 + Y2X2t 2 + · · · + YvX2t v . School of Electrical Engineering & Intelligentization, Dongguan University of Technology