A New Side Channel Resistant Scalar Point Multiplication Method for Binary Elliptic Curves

2006 ◽  
Author(s):  
Aaron E. Cohen ◽  
Keshab K. Parhi
Keyword(s):  
Elliptic Curves ◽  
Side Channel ◽  
Point Multiplication ◽  
Scalar Point Multiplication

scholarly journals Comparative analysis of the scalar point multiplication algorithms in the NIST FIPS 186 elliptic curve cryptography

2021 ◽  
Author(s):  
M. Babenko ◽  
A. Tchernykh ◽  
A. Redvanov ◽  
A. Djurabaev
Keyword(s):  
Comparative Analysis ◽  
Elliptic Curve ◽  
Elliptic Curves ◽  
Elliptic Curve Cryptography ◽  
Execution Time ◽  
Elliptic Curve Cryptosystem ◽  
Coordinate Systems ◽  
Point Multiplication ◽  
Window Method ◽  
Scalar Point Multiplication

In today's world, the problem of information security is becoming critical. One of the most common cryptographic approaches is the elliptic curve cryptosystem. However, in elliptic curve arithmetic, the scalar point multiplication is the most expensive compared to the others. In this paper, we analyze the efficiency of the scalar multiplication on elliptic curves comparing Affine, Projective, Jacobian, Jacobi-Chudnovsky, and Modified Jacobian representations of an elliptic curve. For each coordinate system, we compare Fast exponentiation, Nonadjacent form (NAF), and Window methods. We show that the Window method is the best providing lower execution time on considered coordinate systems.

Avoiding Side-Channel Attacks by Computing Isogenous and Isomorphic Elliptic Curves

2018 ◽  
Vol 12 (3) ◽  
pp. 295-307
Author(s):  
Rodrigo Abarzúa ◽  
Santi Martínez ◽  
Valeria Mendoza ◽  
Javier Valera
Keyword(s):  
Elliptic Curves ◽  
Side Channel ◽  
Side Channel Attacks

Profiled Attacks Against the Elliptic Curve Scalar Point Multiplication Using Neural Networks

2021 ◽  
pp. 238-257
Author(s):  
Alessandro Barenghi ◽  
Diego Carrera ◽  
Silvia Mella ◽  
Andrea Pace ◽  
Gerardo Pelosi ◽  
...  
Keyword(s):  
Neural Networks ◽  
Elliptic Curve ◽  
Point Multiplication ◽  
Scalar Point Multiplication

scholarly journals Speed-Oriented Architecture for Binary Field Point Multiplication on Elliptic Curves

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 32048-32060 ◽  
Author(s):  
Jiakun Li ◽  
Shun'an Zhong ◽  
Zhe Li ◽  
Shan Cao ◽  
Jingqi Zhang ◽  
...  
Keyword(s):  
Elliptic Curves ◽  
Field Point ◽  
Binary Field ◽  
Point Multiplication

Efficient 3-dimensional GLV method for faster point multiplication on some GLS elliptic curves

2010 ◽  
Vol 110 (22) ◽  
pp. 1003-1006 ◽  
Author(s):  
Zhenghua Zhou ◽  
Zhi Hu ◽  
Maozhi Xu ◽  
Wangan Song
Keyword(s):  
Elliptic Curves ◽  
3 Dimensional ◽  
Point Multiplication ◽  
Glv Method
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