On Polynomials over a Finite Field of Even Characteristic with Maximum Absolute Value of the Trigonometric Sum |
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| Authors: | Bassalygo L. A. Zinov'ev V. A. |
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| Affiliation: | (1) Institute for Problems in Information Transmission, Russian Academy of Sciences, Russia |
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| Abstract: | We study trigonometric sums in finite fields  . The Weil estimate of such sums is well known:  , where f is a polynomial with coefficients from F(Q). We construct two classes of polynomials f,  , for which  attains the largest possible value and, in particular,  . |
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| Keywords: | trigonometric sum Weil estimate polynomial field of even characteristic |
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