关键词: 公钥密码, ECDSA算法, 子私钥, 协同签名, 协同计算

Abstract: Aiming at the private key protection of the software password module of a mobile intelligent terminal in the open environment, a twoparty cooperative signature scheme CECDSA is designed. Based on the standard ECDSA signature algorithm, the scheme realizes the key pair and cooperative signature of both parties, and gives the correctness proof. Neither party can obtain a complete private key, and thus cannot forge a signature, which fully guarantees the security of ECDSA algorithm in open environments such as intelligent terminals. Based on the zeroknowledge proof of the elliptic curve discrete logarithm problem, a simulation protocol is constructed, and the security analysis of the scheme is given. The implementation and performance evaluation of the scheme is given. Compared with the existing twoparty ECDSA collaboration schemes, the scheme has advantages in computing efficiency and traffic under the semihonest model and the malicious model. This scheme can protect the security of private key storage and operation in the software password module, and is applicable to the privacy protection and identity authentication of sensitive data in Internet fields such as the Internet of vehicles and the Internet of things.

Key words: publickey cryptography, ECDSA algorithm, private subkey, collaborative signature, collaborative computing