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Polynomials Over a Finite Field

✍ Scribed by Daykin, D. E.


Book ID
120098398
Publisher
Oxford University Press
Year
1965
Tongue
English
Weight
158 KB
Volume
s1-40
Category
Article
ISSN
0024-6107

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Counting irreducible factors of polynomials over a finite field, Discrete Mathematics, 112 (1993) 103-l 18. Let F,[X] denote a polynomial ring in an indeterminate X over a finite field IF,. Exact formulae are derived for (i) the number of polynomials of degree n in F,[X] with a specified number of i

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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