Open AccessElliptic Curve Over Spir of Characteristic Two
Publication year - 2020
Publication title -
international journal of applied mathematics and informatics
Language(s) - English
Resource type - Journals
ISSN - 2074-1278
DOI - 10.46300/91014.2020.14.11
Subject(s) - elliptic curve , hessian form of an elliptic curve , homomorphism , modular elliptic curve , mathematics , ring (chemistry) , elliptic curve point multiplication , integer (computer science) , tripling oriented doche–icart–kohel curve , schoof's algorithm , supersingular elliptic curve , group (periodic table) , pure mathematics , computer science , physics , quarter period , chemistry , organic chemistry , programming language , quantum mechanics
In [1] and [4] we defined the elliptic curve over the ring F3d [ε], ε2 = 0. In this work, we will study the elliptic curve over the ring A = F2d [ε], where d is a positive integer and ε2= 0. More precisely we will establish a group homomorphism between the abulia group (Ea,b,c(F2d ), +) and (F2d, +).