田祎, 刘爱军, 申卫昌. 基于梳状算法的椭圆曲线密码标量乘改进方案[J]. 微电子学与计算机, 2015, 32(5): 99-103. DOI: 10.19304/j.cnki.issn1000-7180.2015.05.021
引用本文: 田祎, 刘爱军, 申卫昌. 基于梳状算法的椭圆曲线密码标量乘改进方案[J]. 微电子学与计算机, 2015, 32(5): 99-103. DOI: 10.19304/j.cnki.issn1000-7180.2015.05.021
TIAN Yi, LIU Ai-jun, SHEN Wei-chang. An Improved Scheme of Scalar Multiplication Based on Comb Method for Ellipse Curve Cryptography[J]. Microelectronics & Computer, 2015, 32(5): 99-103. DOI: 10.19304/j.cnki.issn1000-7180.2015.05.021
Citation: TIAN Yi, LIU Ai-jun, SHEN Wei-chang. An Improved Scheme of Scalar Multiplication Based on Comb Method for Ellipse Curve Cryptography[J]. Microelectronics & Computer, 2015, 32(5): 99-103. DOI: 10.19304/j.cnki.issn1000-7180.2015.05.021

基于梳状算法的椭圆曲线密码标量乘改进方案

An Improved Scheme of Scalar Multiplication Based on Comb Method for Ellipse Curve Cryptography

  • 摘要: 为进一步提高基于梳状算法的椭圆曲线密码标量乘法运算效率,将梳状算法与折半运算结合起来,通过在预计算和赋值运算阶段用更加高效的折半运算代替倍点运算,给出一种基于折半运算的椭圆曲线密码梳状快速标量乘算法.算法性能分析结果表明:与传统的梳状标量乘算法相比,新方案能够有效提高二进制域上椭圆曲线标量乘法运算的效率,在应用椭圆曲线密码的各种系统中具有较好的实际应用价值.

     

    Abstract: The comb method and point halving was combined in order to improve the operation efficient of the scalar multiplication based on comb method. And then a new scheme of comb scalar multiplication based on point halving for ellipse curve cryptography was proposed by using more efficiency operation of point halving to replace point doubling on the stage of pre-computation and evaluation. The performance analysis result of the algorithm shows that:compared with the traditional scheme of comb scalar multiplication, the proposed scheme could improve the operation efficient of scalar multiplication for ellipse curve cryptography over finite field of binary system. And the scheme could has better practical value in a variety systems applied ellipse curve cryptography.

     

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