31 research outputs found
The divisibility modulo 24 of Kloosterman sums on , even
In a recent work by Charpin, Helleseth, and Zinoviev Kloosterman sums
over a finite field \F_{2^m} were evaluated modulo 24 in the case odd,
and the number of those giving the same value for modulo 24 was
given. In this paper the same is done in the case even. The key techniques
used in this paper are different from those used in the aforementioned work. In
particular, we exploit recent results on the number of irreducible polynomials
with prescribed coefficients.Comment: 15 pages, submitted; an annoying typo corrected in the abstrac