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In this paper, the cyclic code of the classic circuit is transformed and transplanted; then, the quantum encoding scheme based on cyclic code and quantum error-correction circuit is con structed.The proposed circuit can correct one-bit error, and the use of redundant bits to encode more than one-bit quantum informa tion breaks the previous limitations of many bits encoding a quan tum bit.Compared with the existing coding circuits (Shor code,Steane code and five stable subcode), it shows obvious superiority in the quantum coding efficiency and transmission efficiency.