2 research outputs found
New constructions of quaternary bent functions
In this paper, a new construction of quaternary bent functions from
quaternary quadratic forms over Galois rings of characteristic 4 is proposed.
Based on this construction, several new classes of quaternary bent functions
are obtained, and as a consequence, several new classes of quadratic binary
bent and semi-bent functions in polynomial forms are derived. This work
generalizes the recent work of N. Li, X. Tang and T. Helleseth
Nonexistence of Generalized Bent Functions From to
Several nonexistence results on generalized bent functions presented by using some knowledge on cyclotomic number
fields and their imaginary quadratic subfields