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