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On the construction of irreducible polynomials over finite fields via odd prime degree endomorphisms of elliptic curves

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In this paper we present an iterative construction of irreducible polynomials over finite fields based on repeated applications of transforms induced by endomorphisms of odd prime degree of ordinary elliptic… Click to show full abstract

In this paper we present an iterative construction of irreducible polynomials over finite fields based on repeated applications of transforms induced by endomorphisms of odd prime degree of ordinary elliptic curves.

Keywords: irreducible polynomials; polynomials finite; finite fields; odd prime; prime degree; construction irreducible

Journal Title: Periodica Mathematica Hungarica
Year Published: 2018

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