Monomials and binomials over finite fields as $R$-orthomorphisms
Wun-Seng Chou, Harald Niederreiter · Publicationes Mathematicae Debrecen · 2002
We give criteria for both monomials and binomials of the form ax (q+1)/2 + bx to be R-orthomorphisms of the finite field F q of odd order q.We also prove existence theorems for R-orthomorphisms of this form.