Elliptic curve models Normal forms in char k Normal forms in char k Addition law structure

Elliptic curve models Normal forms in char(k) = 2 Normal forms in char(k) = 0 Addition law structure A normal form for elliptic curves in characteristic 2 David R. Kohel Institut de Mathematiques de Luminy Arithmetic, Geometry, Cryptography et Coding Theory 2011 CIRM, Luminy, 15 March 2011

• over any field


• addition law


• edwards model


• bernstein introduced


• elliptic curve models