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- W641198113 abstract "Nous presentons un algorithme de multiplication dans les corps finis, base sur une idee de G. V. Et D. V. Chudnovsky. Notre amelioration reside dans l'utilisation d'evaluations derivees de fonctions en des places de degres 1 et 2. Cet algorithme permet d'ameliorer les bornes connues pour la complexite bilineaire de la multiplication dans certains corps finis. Nous presentons egalement de nouvelles constructions de codes correcteurs pour les m-metriques, basee sur les recents articles de Xing, Niederreiter, Ozbudak et Elkies sur les codes geometriques. Nous adaptons egalement un algorithme de decodage en liste dans la lignee des idees de Sudan au cas des codes pour les m-metriques." @default.
- W641198113 created "2016-06-24" @default.
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- W641198113 date "2006-01-01" @default.
- W641198113 modified "2023-09-23" @default.
- W641198113 title "Evaluation dérivée, multiplication dans les corps finis et codes correcteurs" @default.
- W641198113 hasPublicationYear "2006" @default.
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