基于SM2与RSA签密的秘密共享方案

Secret Sharing Scheme based on SM2 to RSA Signcryption

秘密分享作为密码学中的一个分支,在实际应用中存在着安全威胁。因此,设计了一种基于SM2与RSA签密的安全可验证秘密共享方案。方案中,秘密分享者A使用中国剩余定理将秘密分割成n份分享,再使用SM2与RSA签密的方案对分享份进行签名加密;秘密接收者收到签秘文件后,通过自己的私钥对文件进行解密,再获取分享者的公钥对解密结果进行验证,确保分享份的来源与正确性。当接收者需要使用原始秘密文件时,k名接收者通过使用重构功能对k份分享份进行重构,即可恢复原始秘密。

As a branch of cryptography,secret sharing has security threats in practical applications.Therefore,a secure and verifiable secret sharing scheme based on SM2 and RSA signcryption is designed.In the scheme,the secret sharer A uses the Chinese remainder theorem to divide the secret into n shares to share,and then uses the SM2 and RSA signcryption scheme to encrypt the shared shares.After receiving the signcryption file,the secret recipient decrypts the file with his own private key,and then obtains the public key of the sharer to verify the decryption result,so as to ensure the source and correctness of the share.When the receiver needs to use the original secret file,k recipients can recover the original secret by using the reconstruction function to reconstruct the k shares.