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arXiv · 1401.4136

A New Proof of Fitzgerald's Characterization of Primitive Polynomials

Samrith Ram
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Abstract

We give a new proof of Fitzgerald's criterion for primitive polynomials over a finite field. Existing proofs essentially use the theory of linear recurrences over finite fields. Here, we give a much shorter and self-contained proof which does not use the theory of linear recurrences.

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Samrith Ram. 2014-01-16. A New Proof of Fitzgerald's Characterization of Primitive Polynomials. https://doi.org/10.1016/j.ffa.2014.09.006

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