An extension of the Weil-Carlitz-Uchiyama bound

Moreno, O. ; Zinoviev, V. A. ; Kumar, P. V. (1995) An extension of the Weil-Carlitz-Uchiyama bound Finite Fields and Their Applications, 1 (3). pp. 360-371. ISSN 1071-5797

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1006/ffta.1995.1026

Abstract

In this paper, we provide a new bound for exponential sums in one variable. This new bound gives non-trivial estimates for sets of polynomials where the classical bound of Weil-Carlitz-Uchiyama does not. Furthermore, infinite classes of examples are provided where our bound is tight.

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