25 search results - page 2 / 5 » Efficient Arithmetic on Koblitz Curves |
EUROCRYPT
2000
Springer
13 years 8 months ago
2000
Springer
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
PKC
2010
Springer
13 years 6 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 ...
CRYPTO
1991
Springer
13 years 8 months ago
1991
Springer
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
PKC
1998
Springer
13 years 8 months ago
1998
Springer
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
EUROCRYPT
2003
Springer
13 years 10 months ago
2003
Springer
