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The number of polynomials of a given degree over a finite field with value sets of a given cardinality

โœ Scribed by Pinaki Das

Book ID
108485815
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
128 KB
Volume
9
Category
Article
ISSN
1071-5797

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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