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基于数论变换理论 ,提出了一种新的 RS码频域译码算法 .该算法基于以 3为生成元的费马素数域GF(Fn)高基变换 .与常规的以 2为生成元的变换相比 ,该变换提高了最大译码长度 ;而与以 2为基的变换相比 ,该变换又减少了计算量和计算复杂度 ,因而具有更快的译码速度 ,更易于电路实现 .特别适用于目前在深空通信和卫星通信系统中获得广泛应用的 RS(2 5 5 ,2 2 3)标准码
Based on the theory of number theory transform, a new frequency domain decoding algorithm of RS code is proposed, which is based on the Ferm ’s Prime Field GF (Fn) high base transform whose generator is 3. Compared with the conventional transform Compared with the 2-based transform, the transform reduces the computational complexity and computational complexity, which results in faster decoding speed and easier circuit implementation. Suitable for RS (2 5 5, 2 2 3) standard codes currently widely used in deep space communications and satellite communications systems