New classes of quadratic bent functions in polynomial forms
Baofeng Wu · 2014
We propose new classes of quadratic bent functions in polynomial forms, coefficients of which are from extension fields of F2. Bentness of these functions is based on certain linearized permutation polynomials over finite fields of even characteristic, whose permutation properties are confirmed by virtue of arithmetics in skew-polynomial rings. This is the first time skew-polynomials over finite fields are used in studying quadratic bent functions.