Divisibility properties of classical binary Kloosterman sums (Q1043564)

This paper studies some divisibility properties of classical binary Kloosterman sums. The Kloosterman sum over \(\mathbb{F}_{2^m}\) is denoted by \(K(a)\), \(a\in\mathbb{F}_{2^m}\). The main purpose of the paper is to point out relations which appear between these sums, the cubic sums and the inverse cubic sums. Some formulas show the involvement of these of these sums in the weight distributions of cosets of the 3-error-correcting BCH code.