Browsing by Author "Sarlabous, Jorge Estrada"

Now showing items 1-6 of 6

2006-01-01Buch

A Geometric Interpretation of Reduction in the Jacobians of C ab Curves

Blache, Régis; Sarlabous, Jorge Estrada; Petkova, Maria

In this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performed by considering the intersections of a suitable projective model of $C$ with quadrics in projective space. We apply this ...
2005-11-02Buch

Decoding of codes on Picard curves

Sarlabous, Jorge Estrada; Barcelo, Jorge Alejandro Pineiro

The Picard curves are genus three curves with a non trivial automorphism, which have been intensively studied due their connection with interesting number theoretic problems. In 1989, R. Pellikaan obtained an algorithm ...
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 ...
2004-01-19Buch

Some Computational Aspects of Jacobians of Curves in the Family y3 = gamma x5 + delta Over Fp

Blache, Régis; Cherdieu, Jean-Pierre; Sarlabous, Jorge Estrada

In this paper, we study the Jacobian varieties of certain diagonal curves of genus four : we first give the structure of the Jacobian, showing that it is simple over the prime field in most cases, then we give a reduction ...
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 ...