Constructing irreducible polynomials with prescribed level curves over finite fields

Mihai Caragiu

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-4

Abstract:

We use Eisenstein's irreducibility criterion to prove that there exists an absolutely irreducible polynomial P ( X , Y ) ∈ G F ( q ) [ X , Y ] with coefficients in the finite field G F ( q ) with q elements, with prescribed level curves X c : = { ( x , y ) ∈ G F ( q ) 2 | P ( x , y ) = c } .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:852605

DOI: 10.1155/S0161171201011309

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