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Title

The number of hyperelliptic curves over a finite field: recent results

AuthorsHernández Encinas, Luis; Muñoz Masqué, Jaime
KeywordsHyperelliptic curves
Finite fields
Public key cryptology
Discrete logarithm problem
Discriminant of hyperelliptic curves
Issue DateJul-2001
PublisherInternational Institute of Informatics and Systemics
Institute of Electrical and Electronics Engineers
Citation5th World Multiconference on Systemics, Cybernetics and Informatics and 7th International Conference on Information System Analysis and Synthesis (SCI/ISAS 2001) ; IS0051306
AbstractIn this paper we survey the state of art of the use of hyperelliptic curves in Cryptology. We recall the definition of public-key cryptosystems based on the discrete logarithm problem and, specially, the particular case for which the base group of the cryptosystem is the Jacobian variety of a hyperelliptic curve. Moreover, we present some of the open problems related to this kind of cryptosystems and some of the recent results about them. In particular, those related to the number of hyperelliptic curves over a finite field.
Description6 pages.-- Communication presented at the 5th World Multiconference on Systemics, Cybernetics and Informatics and 7th International Conference on Information System Analysis and Synthesis (SCI/ISAS 2001, Orlando, Florida, Jul 22-25, 2001).
URIhttp://hdl.handle.net/10261/8853
ISBN980-07-7529-3
Appears in Collections:(IFA) Comunicaciones congresos
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