Abstract
The transformationf(x)↦f(x 3−3x) is studied. We show that for allF q of characteristic >3 andn≧1, there existsf(x)εF q [x] of degreen which generates an infinite sequence of irreducible polynomials of degree 3in by the iteration of this transformation.
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Chu, W.M. Construction of irreducible polynomials using cubic transformation. AAECC 7, 15–19 (1996). https://doi.org/10.1007/BF01613612
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DOI: https://doi.org/10.1007/BF01613612