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Autre Publication Scientifique Année : 2015

Harmonic Analysis and a Bentness-Like Notion in Certain Finite Abelian Groups Over Some Finite Fields

Résumé

It is well-known that degree two finite field extensions can be equipped with a Hermitian-like structure similar to the extension of the complex field over the reals. In this contribution, using this structure, we develop a modular character theory and the appropriate Fourier transform for some particular kind of finite Abelian groups. Moreover we introduce the notion of bent functions for finite field valued functions rather than usual complex-valued functions, and we study several of their properties.
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Dates et versions

hal-01197141 , version 1 (11-09-2015)

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  • HAL Id : hal-01197141 , version 1

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Laurent Poinsot, Nadia El Mrabet. Harmonic Analysis and a Bentness-Like Notion in Certain Finite Abelian Groups Over Some Finite Fields. 2015. ⟨hal-01197141⟩
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