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Based on the studies of Reed-Solomon codes and orthogonal space-time block codes over Rayleigh fading channel, a theoretical method for estimating performance of Reed-Solomon codes concatenated with orthogonal space-time block codes is presented in this paper. And an upper bound of the bit error rate is also obtained. It is shown through computer simulations that the signal-to-noise ratio reduces about 15 dB or more after orthogonal space-time block codes are concatenate with Reed-Solomon (15,6) codes over Rayleigh fading channel, when the bit error rate is 10-4.