Search Results - "Masuda, Ariane M."

A conjugate directions-type procedure for quadratic multiobjective optimization by Fukuda, Ellen H., Graña Drummond, L. M., Masuda, Ariane M.

“…We propose an extension of the real-valued conjugate directions method for unconstrained quadratic multiobjective problems. As in the single-valued…”
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One- and Two-Point Codes Over Kummer Extensions by Castellanos, Alonso S., Masuda, Ariane M., Quoos, Luciane

“…We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by y m = f (x) λ , where f (x) is a separable polynomial over…”
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Rédei permutations with cycles of the same length by Capaverde, Juliane, Masuda, Ariane M., Rodrigues, Virgínia M.

“…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 only…”
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Rational functions with linear relations by Masuda, Ariane M., Zieve, Michael E.

“…We find all polynomials f,g,h over a field K such that g and h are linear and f(g(x))=h(f(x)). We also solve the same problem for rational functions f,g,h, in…”
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Permutation Binomials over Finite Fields by Masuda, Ariane M., Zieve, Michael E.

“…We prove that if $x^m + ax^n$ permutes the prime field $F_p$ , where m > n > 0 and $a \in F_p^*$ , then gcd(m n, p — 1) > $\sqrt p - 1$ . Conversely, we prove…”
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Solving the membership problem for certain subgroups of SL2(Z) by Han, Sandie, Masuda, Ariane M., Singh, Satyanand, Thiel, Johann

“…For positive integers u and v, let Lu=[10u1] and Rv=[1v01]. Let Gu,v be the group generated by Lu and Rv. In a previous paper, the authors determined a…”
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Solving the membership problem for certain subgroups of SL 2 ( Z ) by Han, Sandie, Masuda, Ariane M., Singh, Satyanand, Thiel, Johann

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Permutation binomials of the form x(x−1 + a) over F q e by Masuda, Ariane M., Rubio, Ivelisse M., Santiago, Javier

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Permutation binomials of the form xr(xq−1 + a) over Fqe by Masuda, Ariane M., Rubio, Ivelisse M., Santiago, Javier

“…We present several existence and nonexistence results for permutation binomials of the form xr(xq−1+a), where e≥2 and a∈Fqe⁎. As a consequence, we obtain a…”
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Rédei permutations with the same cycle structure by Capaverde, Juliane, Masuda, Ariane M., Rodrigues, Virgínia M.

“…Let Fq be the finite field of order q, and P1(Fq)=Fq∪{∞}. Write (x+y)m as N(x,y)+D(x,y)y. For m∈N and a∈Fq, the Rédei function Rm,a:P1(Fq)→P1(Fq) is defined by…”
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Character theory of monoids over an arbitrary field by Masuda, Ariane M., Quoos, Luciane, Steinberg, Benjamin

“…The basic character theory of finite monoids over the complex numbers was developed in the sixties and seventies based on work of Munn, Ponizovskiĭ, McAlister,…”
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Orphans in Forests of Linear Fractional Transformations by Han, Sandie, Masuda, Ariane M., Singh, Satyanand, Thiel, Johann

“…A positive linear fractional transformation (PLFT) is a function of the form $f(z)=\frac{az+b}{cz+d}$ where $a,b,c$ and $d$ are nonnegative integers with…”
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Permutation binomials of the form $x^r(x^{q-1}+a)$ over $\mathbb F_{q^e} by Masuda, Ariane M, Rubio, Ivelisse, Santiago, Javier

“…Finite Fields Appl. 79 (2022), 102003 We present several existence and nonexistence results for permutation binomials of the form $x^r(x^{q-1}+a)$, where…”
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Low Complexity Normal Elements over Finite Fields of Characteristic Two by Masuda, Ariane M., Moura, Lucia, Panario, Daniel, Thomson, David

“…In this paper, we extend previously known results on the complexities of normal elements. Using algorithms that exhaustively test field elements, we are able…”
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Solving the membership problem for certain subgroups of $SL_2(\mathbb{Z}) by Han, Sandie, Masuda, Ariane M, Singh, Satyanand, Thiel, Johann

“…For positive integers $u$ and $v$, let $L_u=\begin{bmatrix}1 & 0 \\u&1\end{bmatrix}$ and $R_v=\begin{bmatrix}1 & v \\ 0 & 1\end{bmatrix}$. Let $G_{u,v}$ be the…”
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R\'edei permutations with the same cycle structure by Capaverde, Juliane, Masuda, Ariane M, Rodrigues, Virgínia M

“…Finite Fields Appl. 81 (2022), 102046 Let $\mathbb{F}_q$ be the finite field of order $q$, and $\mathbb P^1(\mathbb{F}_q) = \mathbb F_q\cup \{\infty\}$. Write…”
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R\'edei permutations with cycles of the same length by Capaverde, Juliane, Masuda, Ariane M, Rodrigues, Virgínia M

“…Des. Codes Cryptogr. 88, 2561-2579 (2020) Let $\mathbb{F}_q$ be a finite field of odd characteristic. We study R\'edei functions that induce permutations over…”
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Permutation polynomials over $\mathbb{F}_{q^2}$ from rational functions by Bartoli, Daniele, Masuda, Ariane M, Quoos, Luciane

“…Let $\mu_{q+1}$ denote the set of $(q+1)$-th roots of unity in $\mathbb{F}_{q^2 }$. We construct permutation polynomials over $\mathbb{F}_{q^2}$ by using…”
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Subgroups of $SL_2(\mathbb{Z})$ characterized by certain continued fraction representations by Han, Sandie, Masuda, Ariane M, Singh, Satyanand, Thiel, Johann

“…Proc. Amer. Math. Soc. 148 (2020), 3775-3786 For positive integers $u$ and $v$, let $L_u=\begin{bmatrix} 1 & 0 \\ u & 1 \end{bmatrix}$ and $R_v=\begin{bmatrix}…”
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Mean Row Values in $(u,v)$-Calkin-Wilf Trees by Han, Sandie, Masuda, Ariane M, Singh, Satyanand, Thiel, Johann

“…In: Nathanson M. (eds) Combinatorial and Additive Number Theory III. CANT 2018. Springer Proceedings in Mathematics & Statistics, vol 297. Springer, Cham We…”
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