2001-02-15Buch DOI: 10.18452/2626
The Emergence of Picard Jacobians in Cryptography
Sarlabous, Jorge Estrada
Barreiro, Ernesto Reinaldo
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 problem. Their security against several know attacks and the efficiency (and effectiveness) of the most important algorithms of the corresponding cryptosystems are discussed.
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Is Part Of Series: Preprints aus dem Institut für Mathematik - 1, Mathematik-Preprints, ISSN:0863-0976