Explicit evaluation of some exponential sums

Authors:
Marko Moisio
Affiliations:
Department of Mathematics and Statistics, University of Vaasa, PO Box 700, FIN-65101 Vaasa, Finland
Venue:
Finite Fields and Their Applications
Year:
2009

Citing 3
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Finite fields

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Weight distribution of some reducible cyclic codes

Finite Fields and Their Applications

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Abstract

Let m be a positive integer, let r be a prime such that 2 is a primitive root modulo r^m, and let q=2^(^r^-^1^)^r^^^m^^^-^^^1. In this paper a binomial exponential sum over F"q which assumes 32log"2q+2 distinct values is explicitly evaluated and its value distribution is determined.