1972-01-01
Exponential sums over GF(2n)
Publication
Publication
Pacific Journal of Mathematics
,
Volume 40
-
Issue 2
p. 511-
519
Let F = GF(q) denote the finite field with q =2nelements. For f(X)∈f[X] we let (formula presented) A deep result of Carlitz and Uchiyama states that if f(X)≠g(X)2+g(X)+b, g(X)∈F[X], b∈F, then │S(f)│≦(deg f-1)q1/2.then This estimate is proved in an elementary way when deg f = 3, 4, 5 or 6. In certain cases the estimate is improved.
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Journal | Pacific Journal of Mathematics |
Citation |
Williams, K.S. (1972). Exponential sums over GF(2n). Pacific Journal of Mathematics, 40(2), 511–519.
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