Luciane Quoos

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20112024

most citedOne- and Two-Point Codes over Kummer Extensions

19 citations · 39 across the 18 of their papers we have counts for

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3 papers · 1 filter

math.CO2018★ 8 cited

Pure gaps on curves with many rational places

Daniele Bartoli, Ariane M. Masuda, Maria Montanucci +1

We consider the algebraic curve defined by $y^{m} = f (x)$ where $m \geq 2$ and $f (x)$ is a rational function over $F_{q}$ . We extend the concept of pure gap to {\bf c}-gap and…

math.CO2018

Permutation polynomials over $F_{q^{2}}$ from rational functions

Daniele Bartoli, Ariane M. Masuda, Luciane Quoos

Let $μ_{q + 1}$ denote the set of $(q + 1)$ -th roots of unity in $F_{q^{2}}$ . We construct permutation polynomials over $F_{q^{2}}$ by using rational functions of any de…

math.CO2016

Complete permutation polynomials from exceptional polynomials

Daniele Bartoli, Massimo Giulietti, Luciane Quoos +1

We classify complete permutation polynomials of type $a X^{\frac{q ^{n} - 1}{q - 1} + 1}$ over the finite field with $q^{n}$ elements, for $n + 1$ a prime and $n^{4} < q$ . For the case $n + 1$ a pow…

Pure gaps on curves with many rational places

Permutation polynomials over Fq2​ from rational functions

Complete permutation polynomials from exceptional polynomials

Permutation polynomials over $F_{q^{2}}$ from rational functions