Title
New Hardware Architecture for Multiplication over GF(2m) and Comparisons with Normal and Polynomial Basis Multipliers for Elliptic Curve Cryptography
Abstract
We propose a new linear array for multiplication in GF(2m) which outperforms most of the existing linear multipliers in terms of the area and time complexity. Moreover we will give a very detailed comparison of our array with other existing architectures for the five binary fields GF(2m), m = 163,233,283,409,571, recommended by NIST for elliptic curve cryptography.
Year
DOI
Venue
2008
10.1093/ietfec/e91-a.1.236
IEICE Transactions
Keywords
Field
DocType
detailed comparison,new hardware architecture,existing linear multiplier,polynomial basis multipliers,new linear array,existing architecture,binary fields gf,elliptic curve cryptography,time complexity,hardware architecture,nist,dual basis,normal basis
Elliptic Curve Digital Signature Algorithm,Polynomial basis,Discrete mathematics,Arithmetic,Theoretical computer science,Multiplication,NIST,Dual basis,Elliptic curve cryptography,Time complexity,Mathematics,Hardware architecture
Journal
Volume
Issue
ISSN
E91-A
1
0916-8508
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Soonhak Kwon117022.00
Taekyoung Kwon21894153.24
Young-Ho Park313716.79