ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE-Reference-Cited by-同舟云学术

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ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE

Published:2010-03-29 Issue:2 Volume:52 Page:315-324
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

GILLOT VALÉRIE,LANGEVIN PHILIPPE

Abstract

AbstractIn this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential sums by means of q-degrees. The method consists in applying suitable elementary transformations to see an exponential sum over a finite field as an exponential sum over a product of subfields in order to apply Deligne bound. In particular, we obtain new results on the spectral amplitude of some monomials.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. Exponential sums as discrete fourier transform with invariant phase functions

2. Bounds for Exponential Sums over Finite Fields

3. Links between differential and linear cryptanalysis

4. On the Non-linearity of Power Functions

5. 9. Katz N. M. , Sommes exponentielles, Cours à Orsay, automne 1979, in Astérisque, vol. 79 (Société Mathématique de France, Paris, 1980), 209.

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