Schertz style class invariants for quartic CM fields
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
dc.contributor.author | ENGE, Andreas | |
hal.structure.identifier | Universiteit Leiden = Leiden University | |
dc.contributor.author | STRENG, Marco | |
dc.date.accessioned | 2024-04-04T02:46:30Z | |
dc.date.available | 2024-04-04T02:46:30Z | |
dc.date.created | 2016 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191557 | |
dc.description.abstractEn | A 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.iso | en | |
dc.title.en | Schertz style class invariants for quartic CM fields | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-01377376 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01377376v1 | |
bordeaux.COinS | ctx_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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