New classes of generalized boolean bent functions over Z4
Nian Li, Xiaohu Tang, Tor Helleseth · 2012
New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.