Lucas Reis

activity

20152026

most citedCounting solutions of special linear equations over finite fields

6 citations · 16 across the 25 of their papers we have counts for

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2 papers · 1 filter

math.NT2015

Factoring polynomials of the form $f (x^{n}) \in F_{q} [x]$

F. E. Brochero Martínez, Lucas Reis

Let $f (x) \in F_{q} [x]$ be an irreducible polynomial of degree $m$ and exponent $e$ , and $n$ be a positive integer such that $ν_{p} (q - 1) \geq ν_{p} (e) + ν_{p} (n)$ for all $p$ prime d…

math.NT2015★ 1 cited

Elements of high order in Artin-Schreier extensions of finite fields $F_{q}$

F. E. Brochero Martinez, Lucas Reis

In this article, we find a lower bound for the order of the coset x+b in the Artin-Schreier extension $F_{q} [x] / (x^{p} - x - a)$ , where $b \in F_{q}$ that satisfies a generic s…

Factoring polynomials of the form f(xn)∈Fq​[x]

Elements of high order in Artin-Schreier extensions of finite fields Fq​

Factoring polynomials of the form $f (x^{n}) \in F_{q} [x]$

Elements of high order in Artin-Schreier extensions of finite fields $F_{q}$