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Title: | The number of hyperelliptic curves over a finite field: recent results |
Authors: | Hernández Encinas, Luis; Muñoz Masqué, Jaime |
Keywords: | Hyperelliptic curves Finite fields Public key cryptology Discrete logarithm problem Discriminant of hyperelliptic curves |
Issue Date: | Jul-2001 |
Publisher: | International Institute of Informatics and Systemics Institute of Electrical and Electronics Engineers |
Citation: | 5th World Multiconference on Systemics, Cybernetics and Informatics and 7th International Conference on Information System Analysis and Synthesis (SCI/ISAS 2001) ; IS0051306 |
Abstract: | In 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. |
Description: | 6 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). |
URI: | http://hdl.handle.net/10261/8853 |
ISBN: | 980-07-7529-3 |
Appears in Collections: | (IFA) Comunicaciones congresos |
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