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arXiv · 1511.00929

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

Simone Ugolini
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Abstract

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

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Simone Ugolini. 2015-11-02. On the construction of irreducible polynomials over finite fields via prime degree endomorphisms of elliptic curves. https://doi.org/10.1007/s10998-017-0216-x

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