Geodesic
Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials
Archivum mathematicum, Tome 42 (2006) no. 1, pp. 43-50.

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We obtain lower bounds on degree and additive complexity of real polynomials approximating the discrete logarithm in finite fields of even characteristic. These bounds complement earlier results for finite fields of odd characteristic.
Classification : 11T24, 11T71, 94A60
Keywords: Discrete logarithm; polynomial approximation; character sums 
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     title = {Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials},
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Brandstätter, Nina; Winterhof, Arne. Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials. Archivum mathematicum, Tome 42 (2006) no. 1, pp. 43-50. http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a4/