【摘要】 对超椭圆曲线数字签名算法引入平移变换、除子矩阵进行了三种方式的改进:对获得公钥的过程增加了平移变换;将计算过程中Jacobian群除子变换成Jacobian群上的除子矩阵,增加计算复杂度;通过对除子矩阵增加平移变换进一步提高安全性。在大素数有限域上实现了超椭圆曲线数字签名算法以及改进后的算法,从安全性能和时间性能上对改进的算法进行了分析,突显了改进的数字签名算法的安全性.更多还原

【Abstract】 In this paper translation transformation and divisor matrix are introduced to improve hyperelliptic curve digital signature algorithm in three ways:adding translation transformation to the process of obtaining the public key,transforming the Jacobian group to divisor matrix in the computation process and increasing the computational complexity,adding translation transformation to divisor matrix to improve further safety.Hyperelliptic curve digital signature algorithm and the improved algorithm have been realized in the big prime number finite fields in this paper.What′s more,the improved algorithm is analyzed from the safety performance and time performance,which highlights the safety performance of the improved digital signature algorithm.更多还原