POLYNOMIALS OVER FINITE FIELDS WITH A GIVEN VALUE SET
J. H. Pan, Kar-Ping Shum · Taiwanese Journal of Mathematics · 2008
We study polynomials over finite fields with a given value set. By constructing relations among the coefficients of Lagrange Interpolation Formula of these polynomials, we obtain its new kind of expression. Using this we find some characterizations for the set and the number of such polynomials.