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 f(x)=Σ_i=1ⁿ2-1/c_iTr(x¹⁺²⁽ⁱ⁾)+c_n2/Tr₁^{n 2/(x1+2(n2)/), c_i∈₂ F₂ 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.}