Method of searching birationally equivalent Edwards curves over binary fields

Z Hu, S Gnatyuk, M Kovtun, N Seilova - Advances in Computer Science for …, 2019 - Springer
Z Hu, S Gnatyuk, M Kovtun, N Seilova
Advances in Computer Science for Engineering and Education 13, 2019Springer
This paper is devoted to increasing of performance of digital signature algorithms based on
elliptic curves over binary fields. Group operations complexity on Edwards curves are less
than on Weierstrass curves and have immunity to some side channel attacks. Hence, it is
interesting to search birationally equivalent curves in Edwards form for curves in Weierstrass
form presented in NIST recommended curves list. It allows using operations over points on
Edwards curve in intermediate computations in scalar multiplications over curves in …
Abstract
This paper is devoted to increasing of performance of digital signature algorithms based on elliptic curves over binary fields. Group operations complexity on Edwards curves are less than on Weierstrass curves and have immunity to some side channel attacks. Hence, it is interesting to search birationally equivalent curves in Edwards form for curves in Weierstrass form presented in NIST recommended curves list. It allows using operations over points on Edwards curve in intermediate computations in scalar multiplications over curves in Weierstrass form. This approach improves the performance and security of digital signature.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果