Browsing by Author "Barreiro, Ernesto Reinaldo"

Now showing items 1-3 of 3

1998-07-15Buch

Efficient Reduction on the Jacobian Variety of Picard curves

Cherdieu, Jean-Pierre; Sarlabous, Jorge Estrada; Barreiro, Ernesto Reinaldo

In this paper, a system of coordinates for the elements on the Jacobian Variety of Picard curves is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment to obtain ...
2005-10-20Buch

On the Jacobian Varieties of Picard curves

Sarlabous, Jorge Estrada; Barreiro, Ernesto Reinaldo; Barceló, Jorge Alejandro Piñeiro

In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment ...
2001-02-15Buch

The Emergence of Picard Jacobians in Cryptography

Sarlabous, Jorge Estrada; Cherdieu, Jean-Pierre; Barreiro, Ernesto Reinaldo; Holzapfel, Rolf-Peter

In this paper we present a new family of Jacobian Varieties defined over finite fields that provides many elements whose group structure is suitable for cryptosystems based on the intractability of the discrete logarithm ...