Value Sets of Some Polynomials Over Finite Fields
โ Scribed by Cusick, Thomas W.
- Book ID
- 118178145
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 273 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0097-5397
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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
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