8 search results - page 1 / 2 » Toric forms of elliptic curves and their arithmetic |
JSC
2011
12 years 8 months ago
2011
We scan a large class of one-parameter families of elliptic curves for efficient arithmetic. The construction of the class is inspired by toric geometry, which provides a natural ...
ACISP
2009
Springer
13 years 12 months ago
2009
Springer
This paper provides new results about efficient arithmetic on (extended) Jacobi quartic form elliptic curves y2 = dx4 + 2ax2
ISCAS
2007
IEEE
13 years 11 months ago
2007
IEEE
Abstract— This work describes the smallest known hardware implementation for Elliptic/Hyperelliptic Curve Cryptography (ECC/HECC). We propose two solutions for Publickey Cryptogr...
PKC
2010
Springer
13 years 7 months ago
2010
Springer
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...