Neranga Fernando

A piecewise construction of permutation polynomials over finite fields

Abstract We describe a piecewise construction of permutation polynomials over a finite field F q which uses a subgroup of F q ⁎ , a “selection” function, and several “case” functions. Permutation polynomials obtained by this construction unify and generalize several recently discovered families of permutation polynomials.

Self-reciprocal polynomials and coterm polynomials

We classify all self-reciprocal polynomials arising from reversed Dickson polynomials over

From r -linearized polynomial equations to r m -linearized polynomial equations

\mathbb {Z}

Reversed Dickson polynomials of the (k + 1)-th kind over finite fields

Z and

A Study of Permutation Polynomials over Finite Fields

\mathbb {F}_p

A representation of the Dickson polynomials of the third kind by Legendre functions

Fp, where p is prime. As a consequence, we also obtain coterm polynomials arising from reversed Dickson polynomials.