High-Speed Implementation of ECC Scalar Multiplication in GF(p) for Generic Montgomery Curves

Debapriya Basu Roy; Debdeep Mukhopadhyay

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High-Speed Implementation of ECC Scalar Multiplication in GF(p) for Generic Montgomery Curves

机译：通用蒙哥马利曲线的GF（p）中ECC标量乘法的高速实现

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Elliptic curve-based cryptography (ECC) has become the automatic choice for public key cryptography due to its lightweightness compared to Rivest–Shamir–Adleman (RSA). The most important operation in ECC is elliptic curve scalar multiplication, and its ef

机译：与Rivest–Shamir–Adleman（RSA）相比，基于椭圆曲线的加密（ECC）轻巧，已成为公钥加密的自动选择。 ECC中最重要的运算是椭圆曲线标量乘法及其ef

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来源
《IEEE transactions on very large scale integration (VLSI) systems》 |2019年第7期|1587-1600|共14页
作者
Debapriya Basu Roy; Debdeep Mukhopadhyay;
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作者单位

Department of Computer Science and Engineering IIT Kharagpur Kharagpur India;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Field programmable gate arrays; Elliptic curve cryptography; Elliptic curves; NIST; Adders; Timing;

机译：现场可编程门阵列;椭圆曲线密码学;椭圆曲线NIST;加法器;定时;

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专利

1. Low-Power, High-Speed Unified and Scalable Word-Based Radix 8 Architecture for Montgomery Modular Multiplication in GF(P) and GF(2n nn ) [J] . Atef Ibrahim, Hamed Elsimary, Fayez Gebali Arabian Journal for Science and Engineering . 2014,第11期

机译：用于GF（P）和GF（2n nn）中的蒙哥马利模乘的低功耗，高速，统一且可扩展的基于词的Radix 8架构
2. Improved Method of López-Dahab-Montgomery Scalar Point Multiplication in Binary Elliptic Curve Cryptography [J] . Zhengbing Hu, Ivan Dychka, Mykola Onai, International Journal of Intelligent Systems and Applications . 2018,第12期

机译：二元椭圆曲线密码学中López-Dahab-Montgomery标量点乘法的改进方法
3. Correction on "A.Scalar Multiplication Algorithm with Recovery of the y-Coordinate on the Montgomery Form and Analysis of Efficiency for Elliptic Curve Cryptosystems" [J] . Jiin-Chiou CHENG, Wen-Chung KUO, Chi-Sung LAIH IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2004,第7期

机译：对“具有蒙哥马利形式的y坐标的恢复的标量乘法算法和椭圆曲线密码系统的效率分析”的更正
4. Hardware design and implementation of scalar multiplication in elliptic curve cryptography (ECC) over GF(2163) on FPGA [C] . Malik Imran, Muhammad Kashif, Muhammad Rashid International Conference on Information and Communication Technologies . 2015

机译：FPGA上基于GF（2163）的椭圆曲线密码（ECC）中标量乘法的硬件设计和实现
5. A high-speed modular multiplier architecture based on modified Montgomery's multiplication algorithm. [D] . Magadi, Anand Shivashankaraiah. 2002

机译：一种基于改进的蒙哥马利乘法算法的高速模块化乘法器体系结构。
6. High-Speed and Unified ECC Processor for Generic Weierstrass Curves over GF( [O] . Asep Muhamad Awaludin, Harashta Tatimma Larasati, Howon Kim 2021

机译：用于GF的通用Weierstrass曲线的高速和统一ECC处理器（
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

High-Speed Implementation of ECC Scalar Multiplication in GF(p) for Generic Montgomery Curves

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