A characterization and an explicit description of all primitive polynomials of degree two over finite fields

Gerardo Vega

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arXiv · 2409.17147

A characterization and an explicit description of all primitive polynomials of degree two over finite fields

Gerardo Vega

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Abstract

For polynomials of degree two over finite fields, we present an improvement of Fitzgerald's characterization (Finite Fields Appl. 9(1):117-121, 2003). We then use this new characterization to obtain an explicit, complete, and simple description of all primitive polynomials of degree two over finite fields.

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Gerardo Vega. 2024-09-02. A characterization and an explicit description of all primitive polynomials of degree two over finite fields. https://arxiv.org/abs/2409.17147

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