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Value Sets of Some Polynomials Over Finite Fields

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


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โœ Wayne Aitken ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

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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