Design and FPGA Implementation of Reed-Solomon(63,45) Coder and Decoder

The RS code is a non-binary BCH code,and has strong capability of error-correcting.The RS code can correct not only random errors but also burst errors.The paper first introduces the design of Galois field adder and multiplier,then detailedly explains the design principle of RS(63,45) coder and decoder.The paper first makes use of Matlab to design these modules to validate the correction of coder and decoder,then tests the errorcorrecting ability of the decoder.The time simulated result indicates the decoder has the best error-correcting ability.The coder and decoder designed can be used in modern wireless communications systems.