Open Access
2008 POLYNOMIALS OVER FINITE FIELDS WITH A GIVEN VALUE SET
Jiangmin Pan, Kar-ping Shum
Taiwanese J. Math. 12(1): 245-253 (2008). DOI: 10.11650/twjm/1500602500

Abstract

We study polynomials over finite fields with a given value set. By constructing relations among the coefficients of Lagrange Interpolation Formula of these polynomials, we obtain its new kind of expression. Using this we find some characterizations for the set and the number of such polynomials.

Citation

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Jiangmin Pan. Kar-ping Shum. "POLYNOMIALS OVER FINITE FIELDS WITH A GIVEN VALUE SET." Taiwanese J. Math. 12 (1) 245 - 253, 2008. https://doi.org/10.11650/twjm/1500602500

Information

Published: 2008
First available in Project Euclid: 21 July 2017

zbMATH: 1138.11351
MathSciNet: MR2387116
Digital Object Identifier: 10.11650/twjm/1500602500

Subjects:
Primary: 12Y05 , 13M10

Keywords: finite field , minimal value set polynomial , Trace , value set

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 1 • 2008
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