The R-transform as a power map and its generalisations to higher degree

We give iterative constructions for irreducible polynomials over F_q of degree nt^r for all nonnegative integers r, starting from irreducible polynomials of degree n. The iterative constructions correspond modulo fractional linear transformations to compositions with power functions x^t. The R-trans...

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Hauptverfasser:	Bassa, Alp, Menares, Ricardo
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory Mathematics - Rings and Algebras
Online-Zugang:	Volltext bestellen
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