A High Speed Coprocessor for Elliptic Curve Scalar Multiplications over F_q

机译：F_q上椭圆曲线标量乘法的高速协处理器

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We present a new hardware architecture to compute scalar multiplications in the group of rational points of elliptic curves defined over a prime field. We have made an implementation on Altera FPGA family for some elliptic curves defined over randomly chosen ground fields offering classic cryptographic security level. Our implementations show that our architecture is the fastest among the public designs to compute scalar multiplication for elliptic curves defined over a general prime ground field. Our design is based upon the Residue Number System, guaranteeing carry-free arithmetic and easy parallelism. It is SPA resistant and DPA capable.

机译：我们提出了一种新的硬件体系结构，用于计算素数场上定义的椭圆曲线的有理点组中的标量乘法。我们在Altera FPGA系列上实现了一些椭圆曲线，这些椭圆曲线是在随机选择的地面区域上定义的，提供经典的密码安全级别。我们的实现表明，我们的体系结构是公共设计中最快的，可以计算在一般主要地面场上定义的椭圆曲线的标量乘法。我们的设计基于残数系统，可确保无进位算术和简单的并行性。它具有抗SPA和DPA功能。

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来源
《Cryptographic hardware and embedded systems - CHES 2010》|2010年|p.48-64|共17页
会议地点 Santa Barbara CA(US);Santa Barbara CA(US)
作者
Nicolas Guillermin;
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作者单位

DGA Information Superiority, Bruz, Prance,IRMAR, Universite Rennes 1, France;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
elliptic curve; high speed; RNS; prime field; FPGA;

机译：椭圆曲线高速; RNS；素场现场可编程门阵列;

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专利

1. CHOICES ON DESIGNING GF (P) ELLIPTIC CURVE COPROCESSOR BENEFITING FROM MAPPING HOMOGENEOUS CURVES IN PARALLEL MULTIPLICATIONS [J] . Qasem Abu Al-Haija, Mohammad Alkhatib, Azmi B. Jaafar International Journal on Computer Science and Engineering . 2011,第2期

机译：从并行乘法映射均质曲线中受益的设计GF（P）椭圆曲线共处理器的选择
2. High-speed hardware architecture of scalar multiplication for binary elliptic curve cryptosystems [J] . Rashidi Bahram, Sayedi Sayed Masoud, Farashahi Reza Rezaeian Microelectronics journal . 2016,第juna期

机译：二进制椭圆曲线密码系统标量乘法的高速硬件架构
3. SPEED UP RATIONAL POINT SCALAR MULTIPLICATIONS ON ELLIPTIC CURVES BY FROBENIUS EQUATIONS [J] . You Lin, Zhao Junzhong, Xu Maozhi Journal of Electronics (CHINA) . 2006,第1期

机译：Frobenius方程加快椭圆曲线上的有理点标量乘法
4. A High Speed Coprocessor for Elliptic Curve Scalar Multiplications over F_p [C] . Nicolas Guillermin International Workshop on Cryptographic Hardware and Embedded Systems . 2010

机译：F_P的椭圆曲线标量乘法的高速协处理器
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. Efficient Elliptic Curve Cryptosystems from a Scalar Multiplication Algorithm with Recovery of the y-Coordinate on a Montgomery-Form Elliptic Curve [O] . Katsuyuki Okeya, Kouichi Sakurai 2001

机译：高效椭圆曲线密码系统从标量乘法算法恢复蒙哥马利形式椭圆曲线上的y坐标
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

A High Speed Coprocessor for Elliptic Curve Scalar Multiplications over F_q

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