Browsing Preprints aus dem Institut für Mathematik by Author "Cherdieu, Jean-Pierre"

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 ...
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 ...