| 一类超椭圆曲线上的快速除子标量乘 |
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| 引用本文： | 游林.一类超椭圆曲线上的快速除子标量乘[J].电子学报,2008,36(10):2049-2054. |
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| 作者姓名： | 游林 |
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| 作者单位： | 杭州电子科技大学通信工程学院,浙江杭州,310018 |
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| 基金项目： | 国家自然科学基金，国家自然科学基金，国家自然科学基金 |
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| 摘 要： | 除子标量乘是超椭圆曲线密码体制中的关键运算.基于单除子标量乘的思想,将Duursma与Sakurai给出的关于奇素数域上一类特殊超椭圆曲线上的一个除子标量乘算法推广到奇素数域扩域上更一般的此类超椭圆曲线上,得到了两个效率更高的公式化的除子标量乘新算法.这两算法所需的运算量比二元法降低12%以上.
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| 关 键 词： | 超椭圆曲线 超椭圆曲线密码体制 单除子 除子标量乘 算法 |
| 收稿时间： | 2006-03-16 |
Fast Divisor Scalar Multiplications on a Class of Hyperelliptic Curves |
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| YOU Lin.Fast Divisor Scalar Multiplications on a Class of Hyperelliptic Curves[J].Acta Electronica Sinica,2008,36(10):2049-2054. |
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| Authors: | YOU Lin |
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| Affiliation: | YOU Lin (College of Communication Engineering,Hangzhou Dianzi University,Hangzhou,Zhejiang 310018,China) |
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| Abstract: | Divisor scalar multiplication is the key operation in hyperelliptic curve cryptosystem.Based on the idea of simple divisor scalar multiplications,Duursma and Sakurai's algorithm for divisor scalar multiplications on a special class of hyperelliptic curves over prime fields has been improved to a larger class of such hyperelliptic curves over prime-extension fields,and two new formulized algorithms for divisor scalar multiplications are proposed.Compared with binary method,our algorithms are much more effici... |
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| Keywords: | hyperelliptic curve hyperelliptic curve cryptosystems simple divisor divisor scalar multiplication algorithm |
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