Polynomials with small value set over finite fields
โ Scribed by Javier Gomez-Calderon; Daniel J. Madden
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 963 KB
- Volume
- 28
- 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
A recently discovered family of indecomposable polynomials of nonprime power degree over \(\mathbb{F}_{2}\) (which include a class of exceptional polynomials) is set against the background of the classical families and their monodromy groups are obtained without recourse to the classification of fin
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