In the field of military wireless communication, digital signals will generate bit errors due to various interferences in the process of channel transmission. In order to improve the communication quality and ensure the correctness and reliability of the communication, the method of error control is usually used for error correction. Error control often adopts the technology of error correction code, which improves the reliability of information transmission by adding redundant information to the effective information code stream. RS code is a typical error correction code with strong error correction ability, which can correct both random errors and burst errors. On this basis, this paper studies the basic rules of RS code construction, designs a new type of codec system circuit for RS (35,27) code, and finally uses hardware description language to design the encoder and decoder, implementation and simulation verification. It has been verified that the RS encoding and decoding system is stable and reliable, has excellent performance, strong error correction ability, strong scalability, and has a broad application space [1,2] .