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.
@article{107980, author = {Nina Brandst\"atter and Arne Winterhof}, title = {Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials}, journal = {Archivum Mathematicum}, volume = {042}, year = {2006}, pages = {43-50}, zbl = {1164.11073}, mrnumber = {2227111}, language = {en}, url = {http://dml.mathdoc.fr/item/107980} }
Brandstätter, Nina; Winterhof, Arne. Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials. Archivum Mathematicum, Tome 042 (2006) pp. 43-50. http://gdmltest.u-ga.fr/item/107980/
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