Constructions of quadratic bent functions in polynomial forms

In this correspondence, the constructions and enumerations of all bent functions represented by a polynomial form of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] are presented for special cases of n. Using an iterative approach, the construction of bent functions of n variables with degree n/2 is also provided using the constructed quadratic bent functions. Index Terms--Bent functions, Boolean functions, maximum nonlinearity, semi-bent functions.