Paper Info
Title
An Improved Method of Multiplication on Certain Elliptic Curves
Abstract
The Frobenius endomorphism is known to be useful in efficient implementation of multiplication on certain elliptic curves. In this note a method to minimize the length of the Frobenius expansion of integer multiplier, ellipticc urves defined over small finite fields, is introduced. It is an optimization of previous works by Solinas and M眉ller. Finally, experimental results are presented and compared with curves recommended in standards by time-performance of multiplication.
Year
DOI
Venue
2002
10.1007/3-540-45664-3_22
Public Key Cryptography
Keywords
Field
DocType
integer multiplier,certain elliptic curve,improved method,efficient implementation,certain elliptic curves,frobenius expansion,frobenius endomorphism,previous work,small finite field,ellipticc urves,elliptic curve,scalar multiplication,finite field
Frobenius endomorphism,Discrete mathematics,Supersingular elliptic curve,Finite field,Multiplication,Elliptic curve point multiplication,Counting points on elliptic curves,Elliptic curve,Complex multiplication,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-43168-3
0
0.34
References 
Authors
10
5
Name
Order
Citations
PageRank
Young-Ho Park113716.79
Sangho Oh231321.71
Sangjin Lee31189120.99
JongIn Lim481975.16
Maenghee Sung561.23