Some quadratic permutation polynomials over finite fields
Rajesh P. Singh, Chandan Kumar Vishwakarma · Journal of Algebra and Its Applications · 2023
Polynomials of the form [Formula: see text] are called quadratic polynomials over a finite field [Formula: see text] and the quadratic polynomials of the form [Formula: see text] are called Dembowski–Ostrom polynomials. In this paper, we propose four classes of permutation trinomials of Dembowski–Ostrom type polynomials over finite fields [Formula: see text] and two classes of quadratic permutation polynomials of the form [Formula: see text] over [Formula: see text].