Paper Info
Title
Parallel and Regular Algorithm of Elliptic Curve Scalar Multiplication over Binary Fields
Abstract
Accelerating scalar multiplication has always been a significant topic when people talk about the elliptic curve cryptosystem. Many approaches have been come up with to achieve this aim. An interesting perspective is that computers nowadays usually have multicore processors which could be used to do cryptographic computations in parallel style. Inspired by this idea, we present a new parallel and efficient algorithm to speed up scalar multiplication. First, we introduce a new regular halve-and-add method which is very efficient by utilizing lambda projective coordinate. Then, we compare many different algorithms calculating double-and-add and halve-and-add. Finally, we combine the best double-and-add and halve-and-add methods to get a new faster parallel algorithm which costs around 12.0% less than the previous best. Furthermore, our algorithm is regular without any dummy operations, so it naturally provides protection against simple side-channel attacks.
Year
DOI
Venue
2020
10.1155/2020/4087873
SECURITY AND COMMUNICATION NETWORKS
DocType
Volume
ISSN
Journal
2020.0
1939-0114
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Xingran Li100.34
Wei Yu295.26
Bao Li318538.33