Search Results - "Brochero Martínez, F. E."

On the number of rational points of Artin–Schreier’s curves and hypersurfaces by Brochero Martínez, F. E., Oliveira, Daniela

“…Let F q n represent the finite field with q n elements. In this paper, our focus is on determining the number of F q n -rational points for two specific…”
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Dynamics of polynomial maps over finite fields by Oliveira, José Alves, Brochero Martínez, F. E.

“…Let F q be a finite field with q elements and let n be a positive integer. In this paper, we study the digraph associated to the map x ↦ x n h ( x q - 1 m )…”
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Poincaré problem for weighted projective foliations by Martínez, F. E. Brochero, Corrêa, M., Rodríguez, A. M.

“…We give an upper bound of the degree of quasi-smooth hypersurfaces which are invariant by a one dimensional holomorphic foliation on a weighted projective…”
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Artin-Schreier curves given by Fq-linearized polynomials by Oliveira, Daniela, Brochero Martínez, F.E.

“…Let Fq be a finite field with q elements, where q is a power of an odd prime p. In this paper we associate circulant matrices and quadratic forms with the…”
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On the functional graph of f(X)=c(Xq+1 + aX2) over quadratic extensions of finite fields by Brochero Martínez, F.E., Teixeira, H.R.

“…Let Fq be the finite field with q elements and char(Fq) odd. In this article we will describe completely the dynamics of the map f(X)=c(Xq+1+aX2) over the…”
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The number of rational points of a class of superelliptic curves by Oliveira, José Alves, Oliveira, Daniela, Martínez, F. E. Brochero

“…In this paper, we study the number of $\mathbb F_{q^n}$-rational points on the affine curve $\mathcal{X}_{d,a,b}$ given by the equation $$…”
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Permutation binomials over finite fields by Oliveira, José Alves, Brochero Martínez, F.E.

“…Let Fq denote the finite field with q elements. In this paper we use the relation between suitable polynomials and number of rational points on algebraic…”
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A note on Bass' conjecture by Avelar, D.V., Brochero Martínez, F.E., Ribas, S.

“…For a finite group G, we denote by d(G) and by E(G), respectively, the small Davenport constant and the Gao constant of G. Let Cn be the cyclic group of order…”
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The number of rational points of a class of superelliptic curves by Oliveira, José Alves, Oliveira, Daniela, Brochero Martínez, F.E.

“…In this paper, we study the number of Fqn-rational points on the affine curve Xd,a,b given by the equationyd=axTr(x)+b, where Tr denote the trace function from…”
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On the number of rational points on Artin-Schreier hypersurfaces by Oliveira, José Alves, Borges, Herivelto, Brochero Martínez, F.E.

“…Let Fqk denote the finite field with qk elements. In this work, we study the number of Fqk-rational points of the affine hypersurfaces given by…”
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Permutation polynomials with Carlitz rank 2 by Oliveira, José Alves, Brochero Martínez, F.E.

“…Let Fq denote the finite field with q elements. The Carlitz rank of a permutation polynomial is an important measure of complexity of a polynomial. In this…”
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Structure of finite dihedral group algebra by Brochero Martínez, F.E.

“…In this article, we show explicitly all central irreducible idempotents and their Wedderburn decomposition of the dihedral group algebra FqD2n, in the case…”
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On the direct and inverse zero-sum problems over Cn⋊sC2 by Avelar, D.V., Brochero Martínez, F.E., Ribas, S.

“…Let Cn be the cyclic group of order n. In this paper, we provide the exact values of some zero-sum constants over G=Cn⋊sC2 where s≢±1(modn), namely η-constant,…”
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Explicit idempotents of finite group algebras by Brochero Martínez, F.E., Giraldo Vergara, C.R.

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Structure of Finite dihedral group algebra by Martínez, F. E. Brochero

“…In this article, we show the relation between the irreducible idempotents of the cyclic group algebra $\mathbb F_qC_n$ and the central irreducible idempotents…”
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Elements of high order in Artin–Schreier extensions of finite fields Fq by Brochero Martínez, F.E., Reis, Lucas

“…In this paper, we find a lower bound for the order of the coset x+b in the Artin–Schreier extension Fq[x]/(xp−x−a), where b∈Fq satisfies a generic special…”
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Factoring polynomials of the form f(xn)∈Fq[x] by Brochero Martínez, F.E., Reis, Lucas

“…Let f(x)∈Fq[x] be an irreducible polynomial of degree m and exponent e. For each positive integer n, such that νp(q−1)≥νp(e)+νp(n) for all prime divisors p of…”
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Explicit idempotents of finite group algebras by Martínez, F. E. Brochero, Vergara, C. R. Giraldo

“…Finite Fields and their Application 28 (2014) 123-131 Let $\mathbb F_q$ be a finite field with $q$ elements, $G$ a finite cyclic group of order $p^k$ and $p$…”
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Low-weight codewords in cyclic codes by Coelho, José G, Martínez, F. E. Brochero

“…We introduce a formula for determining the number of codewords of weight 2 in cyclic codes and provide results related to the count of codewords with weight 3…”
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On the functional graph of $f(X)=c(X^{q+1}+aX^2)$ over quadratic extensions of finite fields by Martínez, F. E. Brochero, Teixeira, H. R

“…Let $\mathbb{F}_q$ be the finite field with $q$ elements and $char(\mathbb{F}_q)$ odd. In this article we will describe completely the dynamics of the map…”
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