Paper
High-Performance Implementation Approach of Elliptic Curve Cryptosystem for Wireless Network Application
- Authors:
- Parviz keshavarzi; Abdalhossein Rezai
- Abstract
- This paper presents a new efficient implementation approach of elliptic curve cryptosystem based on a novel finite field multiplication and a high performance scalar multiplication algorithm for wireless network authentication. In this new finite field multiplication, CLNZ sliding window method is used on the signed-digit multiplier in order to reduce the multiplication steps. In addition, in scalar multiplication algorithm of the proposed implementation approach, point addition and point doubling operation.So the multiplication cost in the proposed implementation approach reduced considerrably.Using this new implementation approach,the security of the number of multiplication steps at about 40%-82.4% for d=2-10 in compare with montgomery modular multiplication algorrithm.In addition,the ellptic curve cryptosystem enhances about 88%-97%in the compare with the implementation approach of traditionnal windows NAF elliptic curve scalar multiplication algorithm(based on interleaving)where w=4 and 8,andd=8.
- Keywords
- wireless network security; authentication; elliptic curve cryptosystem; scalar multiplication; finite field multiplication; signd-digit recoding
- StartPage
- 21
- EndPage
- 25
- Doi