基于圆锥曲线的数字签名与多签名体制

DIGITAL SIGNATURE AND MULTIPLE SIGNATURE SCHEME BASED ON CONICAL CURVE

数字签名和多签名体制是密码学中的重要方向,目前有许多方案被设计出来。然而,从查阅文献来看,很少有基于圆锥曲线的数字签名或多签名体制。利用圆锥曲线构造了一个数字签名体制,该体制能够提供阈下信道特性,然后基于这个数字签名体制设计了一个多签名方案。两个方案的安全性依赖于圆锥曲线上的离散对数问题。

Digital signature and multiple signature scheme are the important directions in cryptography,there are quite a number of schemes devised.However,referring to the literatures in this regard,few are based on conical curve.In this paper we formed a digital signature scheme with conical curve,which can provide the characteristic of subliminal channel,and then based on this scheme we designed a multiple signature scheme.The security properties of these two schemes rely on the discrete logarithm issue of conical curve.