Construction of irreducible polynomials using cubic transformation |
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Authors: | W M Chu |
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Affiliation: | (1) Department of Mathematics, University of Hong Kong, Hong Kong |
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Abstract: | The transformationf(x)f(x
3–3x) is studied. We show that for allF
q
of characteristic >3 andn1, there existsf(x)F
q
x] of degreen which generates an infinite sequence of irreducible polynomials of degree 3
i
n by the iteration of this transformation. |
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Keywords: | Finite fields irreducible polynomials |
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