Scalar Multiplication on Pairing Friendly Elliptic Curves

Naoki KANAYAMA; Tadanori TERUYA; Eiji OKAMOTO

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Scalar Multiplication on Pairing Friendly Elliptic Curves

机译：配对椭圆曲线上的标量乘法

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摘要

In the present paper, we propose elliptic curve scalar multiplication methods on pairing-friendly elliptic curves. The proposed method is efficient on elliptic curves on which Ate, pairing or optimal pairing is efficiently computed.

机译：在本文中，我们提出了在配对友好的椭圆曲线上的椭圆曲线标量乘法方法。所提出的方法对于有效地计算Ate，配对或最优配对的椭圆曲线是有效的。

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来源
《IEICE Transactions on fundamentals of electronics, communications & computer sciences 》 |2011年第6期| p.1285-1292| 共8页
作者
Naoki KANAYAMA; Tadanori TERUYA; Eiji OKAMOTO;
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作者单位

Department of Risk Engineering,Faculty of Systems and Information Engineering, University of Tsukuba, Tsukuba-shi, 305-8573 Japan;

Department of Risk Engineering,Faculty of Systems and Information Engineering, University of Tsukuba, Tsukuba-shi, 305-8573 Japan;

Department of Risk Engineering,Faculty of Systems and Information Engineering, University of Tsukuba, Tsukuba-shi, 305-8573 Japan;

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正文语种 eng
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关键词
scalar multiplication; ate_i pairing; optimal pairing; endomor-phism;

机译：标量乘法配对最佳配对;同构;

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1. Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography [J] . Yasuyuki NOGAMI, Yumi SAKEMI, Takumi OKIMOTO, IEICE Transactions on fundamentals of electronics, communications & computer sciences . 2009 ,第1期

机译：基于Frobenius展开的椭圆椭圆曲线的标量乘法，用于基于配对的密码学
2. Speeding scalar multiplication over binary elliptic curves using the new carry-less multiplication instruction [J] . Jonathan Taverne, Armando Faz-Hernandez, Diego F. Aranha, Journal of cryptographic engineering . 2011 ,第3期

机译：使用新的无进位乘法指令加速二进制椭圆曲线上的标量乘法
3. Faster Point Scalar Multiplication on Short Weierstrass Elliptic Curves over F_p using Twisted Hessian Curves over F_(p~2) [J] . Michal Wronski Journal of Telecommunications and Information Technology . 2016 ,第3期

机译：使用F_（p〜2）上的扭曲Hessian曲线在F_p上的短Weierstrass椭圆曲线上进行快速点标量乘法
4. New Elliptic Curve Multi-scalar Multiplication Algorithm for a Pair of Integers to Resist SPA [C] . Duo Liu, Zhiyong Tan, Yiqi Dai International Conference on Information Security and Cryptology . 2009

机译：一对整数的新椭圆曲线多标标乘法算法抵抗水疗中心
5. GPU and ASIC Acceleration of Elliptic Curve Scalar Point Multiplication. [D] . Leboeuf, Karl. 2012

机译：椭圆曲线标量点乘法的GPU和ASIC加速。
6. Symmetric digit sets for elliptic curve scalar multiplication without precomputation [O] . Clemens Heuberger, Michela Mazzoli -1

机译：椭圆形标量乘法的无对称数字集
7. Scalar Multiplication on Pairing Friendly Elliptic Curves [O] . KANAYAMA Naoki, TERUYA Tadanori, OKAMOTO Eiji 2011

机译：配对椭圆曲线上的标量乘法
8. Some Improvements on Signed Window Algorithms for Scalar Multiplications in Elliptic Curve Cryptosystems [R] . Vo, San C. 2001

机译：椭圆曲线密码体制中标量乘法的符号窗口算法的一些改进

Scalar Multiplication on Pairing Friendly Elliptic Curves

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