Explicit-Formulas Database
Doubling-oriented Doche/Icart/Kohel curves
Edwards curves
Extended Jacobi-quartic coordinates
Hessian curves
Inverted Edwards coordinates
Jacobi intersections
Jacobi quartics
Jacobian coordinates
Projective coordinates
Tripling-oriented Doche/Icart/Kohel curves
Weierstrass curves
This is joint work by
Daniel J. Bernstein
and
Tanja Lange,
building on work by many authors.
New
paper on the EFD:
"Analysis and optimization of elliptic-curve single-scalar multiplication",
to appear in the proceedings of Fq8.
See also the
zoo pictures.
Sneak preview: A
new version of EFD
is in preparation,
with more coordinate systems,
more formulas,
fully automated formula verification,
and fully automated operation counts.