Résumé
Dans cet article, nous comparons les fonctions courbes binaires et les fonctions courbes généralisées des points de vue métrique et du degré. Nous donnons une majoration du rayon de recouvrement des codes de Reed-Muller affines construits sur des anneaux finis et commutatifs. Une majoration du degré des fonctions courbes généralisées termine l’article.
Abstract
In this paper, we compare binary bent functions and the generalized bent functions from the metric and degree point of view. We give an upper bound on the covering radius of the affine Reed-Muller codes defined over a finite and commutative ring. The paper also gives a bound on the degree of a generalized bent function.
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© 1993 Springer-Verlag Wien
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Langevin, P. (1993). On Generalized Bent Functions. In: Camion, P., Charpin, P., Harari, S. (eds) Eurocode ’92. International Centre for Mechanical Sciences, vol 339. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2786-5_13
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DOI: https://doi.org/10.1007/978-3-7091-2786-5_13
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82519-8
Online ISBN: 978-3-7091-2786-5
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