Abstract: Certificateless signature scheme solves the certificate management in traditional public key cryptography，and the key escrow in identity-based public key cryptography.Proxy signature scheme allows an original signer to delegate his signing capability to a proxy signer.Designated multi-verifiers signature schemes allows signer to designate the signature to a set of verifiers，in such a way that only designated verifiers can verify the efficiency of the signature，but is unable to convince anyone else of this fact.A certificateless designated multi-verifiers proxy signature scheme and its safety requirement is proposed which integrates the advantages of the three schemes above，and its security is analyzed，the analysis indicates that the scheme satisfies safety requirements of the certificateless designated multi-verifiers proxy signature scheme.The scheme is suitable for the practical application.

Key words: proxy signature, certificateless signature, designated multi-verifier signature, bilinear pairings

摘要： 无证书的签名体制解决了传统公钥密码体制中的证书管理问题和基于身份密码体制中的密钥托管问题。代理签名允许原始签名者将自己的签名权委托给代理签名人。指定多个验证者签名方案允许签名者指定多个签名的验证者，只有这些指定的验证者们可以验证签名的有效性，但他们却不能向其他人证明这一事实。结合这三者的优势提出了无证书的指定多个验证者代理签名方案和其要满足的安全要求，并对其安全性做了分析，分析表明该方案满足无证书的指定多个验证者代理签名方案所要满足的安全要求，适于实际应用。

关键词: 代理签名, 无证书签名, 指定多个验证者签名, 双线性对