Analysis of elliptic curve scalar multiplication in secure communications

机译：安全通信中椭圆曲线标量乘法的分析

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Nowadays there is an increasing demand for network security, because of the information processing, communications and revolutions. Cryptography offers high security for communication and networking. Elliptic curve scalar multiplication is the most important operation in elliptic curve cryptosystems. This paper focus on secure elliptic curve scalar multiplication development using Karatsuba multiplier and also generate secret key pair for encryption and decryption in elliptic curve cryptography. The implementation of the elliptic curve point multiplication is achieved by using a dedicated Galois Field arithmetic simulated on ModelSim.

机译：如今，由于信息处理，通信和革命，对网络安全的需求日益增长。密码术为通信和联网提供了高安全性。椭圆曲线标量乘法是椭圆曲线密码系统中最重要的运算。本文着重于使用Karatsuba乘法器进行安全的椭圆曲线标量乘法开发，并生成用于椭圆曲线密码学加密和解密的密钥对。椭圆曲线点乘法的实现是通过使用在ModelSim上模拟的专用Galois Field算法实现的。

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来源
《2015 Global Conference on Communication Technologies》|2015年|623-627|共5页
会议地点 Thuckalay(IN)
作者
Thomas Christina; Sheela K. Gnana;
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作者单位

Dept. of ECE, CUSAT, Cochin, India;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
cryptography; elliptic curve scalar multiplication; galois field; karatsuba multiplier;

机译：密码术；椭圆曲线标量乘法；伽罗瓦域；唐津乘法器;

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1. Secure outsourcing of modular inverses and scalar multiplications on elliptic curves [J] . International Journal of Security and Networks . 2020,第2期

机译：安全外包模块化反转和椭圆曲线上的标量乘法
2. A FAST AND SECURE ELLIPTIC CURVE SCALAR MULTIPLICATION ALGORITHM OVER GF(p~m) [J] . Shuang-Gen Liu, Yu-Pu Hu, Hai-Ying Ni, Journal of the Chinese Institute of Industrial Engineers . 2009,第4期

机译：GF（p〜m）上的快速且安全的椭圆曲线标量乘法
3. A FAST AND SECURE ELLIPTIC CURVE SCALAR MULTIPLICATION ALGORITHM OVER GF(p~m) [J] . Shuang-Gen Liu, Yu-Pu Hu, Hai-Ying Ni, Journal of the Chinese Institute of Industrial Engineers . 2009,第4期

机译：GF（p〜m）上的快速且安全的椭圆曲线标量乘法
4. Analysis of elliptic curve scalar multiplication in secure communications [C] . Thomas Christina, Sheela K. Gnana Global Conference on Communication Technologies . 2015

机译：安全通信中椭圆曲线标量乘法分析
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. Compact Elliptic Curve Scalar Multiplication with a Secure Generality [O] . Yaoan Jin, Atsuko Miyaji 2020

机译：紧凑型椭圆曲线标量乘法具有安全的一般性
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

Analysis of elliptic curve scalar multiplication in secure communications

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