一个基于椭圆曲线的可证明安全签密方案

Provably secure signcryption scheme based on elliptic curves

签密能够在一个合理的逻辑步骤内同时完成数字签名和加密两项功能。与实现信息保密性和认证性的先签名后加密方案相比,签密具有较低的计算和通信代价。提出一个基于椭圆曲线的签密方案,能够同时完成数字签名和加密两项功能。基于可证明安全性理论,在GDH(gap Diffie-Hellman)问题难解的假设之下,该方案在随机预言机模型中被证明是安全的。该方案能够抵御自适应选择明文/密文攻击。

Signcryption can provide simultaneous digital signature and encryption at a low computational and communication overhead compared with the signature-then-encryption approach. This paper proposed a signcryption scheme based on elliptic curves. Based on the theory of provable security, proved this scheme to be secure under the GDH （gap Diffie-Hellman） assumption in the random oracle model. It is secure against adaptive chosen plaintext/ciphertext attack.