Paper Info
Title
Ternary Method in Elliptic Curve Scalar Multiplication
Abstract
Based on ternary method, we proposed a new scalar multiplication with high performance and security. Fast computation formulae of 3P ±Q is developed for ternary method, balanced ternary coding is used to improve the efficiency of scalar multiplication, signed ternary with lowest hamming weight is used to further improve the efficiency. For the elliptic curves in GF(3m), compared with Binary Scalar Multiplication, the efficiency of the new scalar multiplication is improved with the increase of the ratio of inversion and multiplication without pre-computations and other registers.
Year
DOI
Venue
2013
10.1109/INCoS.2013.93
INCoS
Keywords
Field
DocType
high performance,scalar multiplication,new scalar multiplication,elliptic curve scalar multiplication,ternary,signed ternary,hamming weight,efficiency,binary scalar multiplication,ternary method,balanced ternary coding,elliptic curve,computation formula,public key cryptography,gf,elliptic curve cryptosystem
Applied mathematics,Scalar multiplication,Computer science,Ternary operation,Balanced ternary,Multiplication,Elliptic curve point multiplication,Hamming weight,Elliptic curve,Distributed computing,Binary number
Conference
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Ning Zhang100.34
Xiao-Tong Fu2103.46