New Constructions of Quadratic Bent Functions in Polynomial Form

Nian Li, Xiaohu Tang, Tor Helleseth
2014 IEEE Transactions on Information Theory  
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 Z 4 -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
more » ... similar methods. Index Terms-Boolean bent function, Galois ring, generalized Boolean function, p-ary bent function, quadratic form.
doi:10.1109/tit.2014.2339861 fatcat:6j34m6i5mnfcdnqj5gtp6ufgoy