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hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
dc.contributor.authorENGE, Andreas
hal.structure.identifierUniversiteit Leiden = Leiden University
dc.contributor.authorSTRENG, Marco
dc.date.accessioned2024-04-04T02:46:30Z
dc.date.available2024-04-04T02:46:30Z
dc.date.created2016
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191557
dc.description.abstractEnA class invariant is a CM value of a modular function that lies in a certain unram-ified class field. We show that Siegel modular functions over $Q$ for $Γ^0 (N) ⊆ Sp_4 (Z)$yield class invariants under some splitting conditions on N. Small class invariants speed up constructions in explicit class field theory and public-key cryptography. Our results generalise results of Schertz's from elliptic curves to abelian varieties and from classical modular functions to Siegel modular functions.
dc.language.isoen
dc.title.enSchertz style class invariants for quartic CM fields
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.description.sponsorshipEuropeAlgorithmic Number Theory in Computer Science
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01377376
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01377376v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ENGE,%20Andreas&STRENG,%20Marco&rft.genre=preprint


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