基于环Z_n圆锥曲线上的签密方案

SIGNCRYPTION SCHEME BASED ON CONIC CURVE OVER RING Z n

相比于传统的"先签名后加密"方法,签密方案使得在同一个逻辑步骤中完成两项密码变换功能。利用圆锥曲线上的公钥密码体制和签密体制建立一个同时完成数字签密和加密两项功能的签密体制,并证明在基于圆锥曲线上离散对数和大数分解双重困难问题下,方案是安全的。最后和现有的方案[3]进行比较说明该方案在效率方面优于文献[3]的方案。

Compared with traditional signature-then-encryption approach, signcryption scheme enables two cryptographic transformation functions to be fulfilled in same logical procedure. It makes use of the public key cryptosystem and signcryption scheme on conic curve functions to establish a signcryption system to complete both the functions of digital signcryption and encryption simultaneously, and proves that in dual difficulties problem of the discrete logarithm based on conic curve and large number factorisation, this scheme is secure. Finally, by comparing the scheme with existing protocol, it shows that this scheme outperforms the literature schemes in efficiency.