Title :
Arithmetic Operations on Elliptic Curves Defined over Un-conventional Element Finite Fields
Author :
Daikpor, Michael Naseimo ; Adegbenro, Oluwole
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Lagos, Lagos, Nigeria
Abstract :
This paper presents arithmetic operations on elliptic curves defined over an un-conventional number system character digit element finite field. A high speed elliptic curve scalar multiplication algorithm in this special field domain is also presented. The heuristically-obtained results show the efficient nature of the proposed elliptic curve arithmetic operations.
Keywords :
finite element analysis; public key cryptography; digit element finite field; elliptic curve arithmetic operation; high speed elliptic curve scalar multiplication algorithm; unconventional number system character; Distributed computing; addition/subtraction chain; finite field element; point addition; point doubling; scalar multiplication;
Conference_Titel :
Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC), 2012 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4673-2624-7
DOI :
10.1109/CyberC.2012.29
