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Explicit Riemann-Roch spaces in the Hilbert class field

hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorCOUVEIGNES, Jean-Marc
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorGASNIER, Jean
dc.date.accessioned2024-04-04T02:32:00Z
dc.date.available2024-04-04T02:32:00Z
dc.date.issued2023-09-13
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190346
dc.description.abstractEnLet $\mathbf K$ be a finite field, $X$ and $Y$ two curves over $\mathbf K$, and $Y\rightarrow X$ an unramified abelian cover with Galois group $G$. Let $D$ be a divisor on $X$ and $E$ its pullback on $Y$. Under mild conditions the linear space associated with $E$ is a free ${\mathbf K}[G]$-module. We study the algorithmic aspects and applications of these modules.
dc.language.isoen
dc.title.enExplicit Riemann-Roch spaces in the Hilbert class field
dc.typeDocument de travail - Pré-publication
dc.typePrepublication/Preprint
dc.subject.halMathématiques [math]
dc.identifier.arxiv2309.06754
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04219975
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04219975v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-09-13&rft.au=COUVEIGNES,%20Jean-Marc&GASNIER,%20Jean&rft.genre=preprint&unknown


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