A novel method of decoding the BCH code based on norm syndrome to improve the error correction efficiency

This paper presents the new method permuted decoding BCH based on a norm of syndrome. This approach allows correction of the random error and burst error simultaneously. This method is combined with a cyclotomic permutation to reduce the complexity of the decoder. The proposed method reaches the gain coding to 5dB at BER = 10-4 on the flat fading Rayleigh channel compared with the algebraic method.