Value sets of Dickson polynomials over Galois rings
โ Scribed by Priscilla S. Bremser; Javier Gomez-Calderon
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 433 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study value sets of polynomials over a finite field, and value sets associated to pairs of such polynomials. For example, we show that the value sets (counting multiplicities) of two polynomials of degree at most d are identical or have at most q!(q!1)/d values in common where q is the number of
Let T n (x, a) สฆ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the first kind or the second kind of degree n in the indeterminate x and with parameter a. We give a complete description of the factorization of T n (x, a) over GF(q).