Abstract | ||
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We give estimates for exponential sums over finite fields in several variables. We study the case where the phase is either quadratic or more generally invariant under the action of a finite group. The bounds obtained are better than the general ones; they imply some estimates for certain sums in one variable, and for the number of solutions of the trace equation Tr(x d + vx) .--- O. In an appendix we discuss the link between exponential sums and bent functions. |
Year | DOI | Venue |
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1993 | 10.1007/3-540-56686-4_46 | AAECC |
Keywords | Field | DocType |
discrete fourier transform,exponential sums,invariant phase functions,finite field,bent function,exponential sum | Discrete mathematics,Combinatorics,Fourier analysis,Exponential function,Exponential sum,Mathematical analysis,Discrete Fourier series,Fourier inversion theorem,Discrete Fourier transform (general),Invariant (mathematics),Fourier transform on finite groups,Mathematics | Conference |
ISBN | Citations | PageRank |
3-540-56686-4 | 1 | 1.01 |
References | Authors | |
6 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gilles Lachaud | 1 | 41 | 8.53 |