1 research outputs found
On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields
Let be a finite field, be an extension of
, let be a polynomial of degree
with . We present a recursive formula for evaluating the
exponential sum . Let and
be two elements in with , be a positive integer. We
obtain an estimate for the exponential sum , where is the lifting
of an additive character of . Some properties of the
sequences constructed from these exponential sums are provided also.Comment: 18 page