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Jacobians of hyperelliptic curves for cryptography

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 Italy Publisher:De Gruyter (Sciendo), Warsaw; Corvinus University of Budapest, Department of Mathematics ; University of Siena, Department of Mathematics; SAAS Ltd., Budapest
Authors: SONNINO, Angelo;

handle: 11563/1534

Jacobians of hyperelliptic curves for cryptography

Abstract

Summary: Jacobians of hyperelliptic curves defined over a finite field are used in constructing cryptosystems based on the discrete logarithm. The aim of this paper is to present some hyperelliptic curves defined over \(\mathbb F_4\) whose Jacobians provide cryptosystems resisting the currently known attacks. The key tool for this purpose is the classification of \(L\)-polynomials of hyperelliptic curves defined over \(\mathbb F_4\).

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Italy
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Keywords

Curves over finite and local fields, hyperelliptic curves, cryptography, cryptosystem, hyperelliptic curve, $L$-polynomial, Cryptography, Jacobian

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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