Arithmetic Operations on Elliptic Curves Defined over Un-conventional Element Finite Fields
Michael Naseimo Daikpor, Oluwole Adegbenro · 2012
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.