𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Value Sets of Special Polynomials over Finite Fields

✍ Scribed by Abramo Hefez

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
225 KB
Volume
2
Category
Article
ISSN
1071-5797

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Enumeration of Special Sets of Polynomia
Enumeration of Special Sets of Polynomials over Finite Fields
✍ Astrid Reifegerste πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 379 KB

In this paper we consider squarefree polynomials over finite fields whose gcd with their reciprocal and Frobenius conjugate polynomial is trivial, respectively. Our focus is on the enumeration of these special sets of polynomials, in particular, we give the number of squarefree palindromes. These in

On Value Sets of Polynomials over a Fini
On Value Sets of Polynomials over a Finite Field
✍ Wayne Aitken πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 254 KB

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

The Factorization of Dickson Polynomials
The Factorization of Dickson Polynomials over Finite Fields
✍ Wun-Seng Chou πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 257 KB

Let T n (x, a) Κ¦ 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).