Exponential sums over GF(2n)
Kenneth L. Williams · Pacific Journal of Mathematics · 1972
Let F = GF(q) denote the finite field with q = 2 n elements.For f(X) 6 F[X] we let A deep result of Carlitz and Uchiyama states that if f(X) Φ g(XY + g{X) + b, g(X) e F[X], b e F, then This estimate is proved in an elementary way when deg / = 3, 4, 5 or 6.In certain cases the estimate is improved.