基于环Z_n上圆锥曲线的前向安全环签名方案

Forward-secure Ring Signature Based on Conic Curve over Z_n

基于环Zn上的圆锥曲线,提出一种高效的前向安全环签名方案。该方案考虑了密钥泄漏问题,并利用大数分解和圆锥曲线离散对数问题的困难性,增强了安全性。由于整个签名运算在环Zn的圆锥曲线上,使得明文嵌入方便,求逆元速度快,元素阶的计算及曲线上点的运算都比较容易,因此更便于实现。

A new concept called forward-secure ring signature scheme based on conic curve over Zn is proposed. The scheme considers the key exposure problem, and adopted difficulties of factoring large integer and computing discrete logarithm, which strengthens the performance of the security. Because the whole signature is operated in conic curve over Zn, the scheme is easier to accomplish for embedding plaintext, computing element order and points in curves, and speeding up the inverse operation.