On coefficients of powers of polynomials and their compositions over finite fields

Gary L. Mullen, Amela Muratović-Ribić, Qiang Wang

For any given polynomial $f$ over the finite field ${\mathbb{F}}_q$ with degree at most $q-1$, we associate it with a $q\times q$ matrix $A(f)=(a_{ik})$ consisting of coefficients of…