Ariane M. Masuda

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20072026

most citedOne- and Two-Point Codes over Kummer Extensions

19 citations · 53 across the 16 of their papers we have counts for

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math.NT2020

Permutation binomials of the form $x^{r} (x^{q - 1} + a)$ over $F_{q^{e}}$

Ariane M. Masuda, Ivelisse Rubio, Javier Santiago

We present several existence and nonexistence results for permutation binomials of the form $x^{r} (x^{q - 1} + a)$ , where $e \geq 2$ and $a \in F_{q^{e}}^{*}$ . As a consequence, we ob…

math.NT2020★ 5 cited

Rédei permutations with cycles of the same length

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let $F_{q}$ be a finite field of odd characteristic. We study Rédei functions that induce permutations over $P^{1} (F_{q})$ whose cycle decomposition contains o…

Permutation binomials of the form xr(xq−1+a) over Fqe​

Rédei permutations with cycles of the same length

Permutation binomials of the form $x^{r} (x^{q - 1} + a)$ over $F_{q^{e}}$