Zeta function and cryptographic exponent of supersingular curves of genus 2

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dc.creatorCardona, Gabriel
dc.creatorNart, Enric
dc.date2007-04-16
dc.date.accessioned2026-07-07T07:56:42Z
dc.date.available2026-07-07T07:56:42Z
dc.descriptionWe compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these computations in an appendix where we select a family of representatives of all these curves up to geometric isomorphism and we exhibit equations and the zeta function of all their twists. As an application we obtain a direct computation of the cryptographic exponent of the Jacobians of these curves.
dc.identifierhttps://arxiv.org/abs/0704.1951
dc.identifierhttp://arxiv.org/abs/0704.1951
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127405
dc.subjectNumber Theory
dc.subject11G20
dc.titleZeta function and cryptographic exponent of supersingular curves of genus 2
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