REMARKS ON FINITE FIELDS III

In [2] and [3], the Shinwon polynomial S$_{n}$(x) of order n is defined and studied in some details. In this paper we will define the general Shinwon polynomial S$_{n}$(a,x) and the Dickson polynomial D$_{n}$(a,x) of the second kind of order n which is a slightly changed form of the Dickson polynomial g$_{n}$(a,x), and show that D$_{n}$(a,x) is closely related to S$_{n}$(a,x).EX> n/(a,x).