New Constructions of Quadratic Bent Functions in Polynomial Form
Nian Li, Xiaohu Tang, Tor Helleseth · IEEE Transactions on Information Theory · 2014
New quadratic bent functions in polynomial form are constructed in this paper. The constructions give new Boolean bent, generalized Boolean bent and p-ary 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 Boolean bent and semi-bent functions. Moreover, many new p-ary bent functions can also be obtained by applying similar methods.