Herivelto Borges

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All published works

Action	Title	Year	Authors
+ PDF Chat	Tate-Shafarevich results for quartic twists in characteristic $2$	2024	Herivelto Borges João Paulo Guardieiro Cecília Salgado Jaap Top
+	The p-rank of curves of Fermat type	2024	Herivelto Borges Cirilo Gonçalves
+ PDF Chat	Plane curves with a large linear automorphism group in characteristic p	2024	Herivelto Borges Gábor Korchmáros Pietro Speziali
+	On the number of rational points on Artin-Schreier hypersurfaces	2023	José Alves Oliveira Herivelto Borges Fabio Enrique Brochero Martínez
+	On the number of elements with prescribed norm and trace	2023	Roberto Alvarenga Herivelto Borges
+ PDF Chat	An elementary abelian p-cover of the Hermitian curve with many automorphisms	2022	Herivelto Borges Satoru Fukasawa
+	The p-rank of curves of Fermat type	2022	Herivelto Borges Cirilo Gonçalves
+ PDF Chat	The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines	2021	Nazar Arakelian Herivelto Borges Pietro Speziali
+	Weierstrass pure gaps on curves with three distinguished points	2021	Herivelto Borges Gregory Duran
+	On the Zeta function and the automorphism group of the generalized Suzuki curve	2020	Herivelto Borges Mariana Coutinho
+	Rational functions with small value set	2020	Daniele Bartoli Herivelto Borges Luciane Quoos
+	An elementary abelian $p$-cover of the Hermitian curve with many automorphisms	2020	Herivelto Borges Satoru Fukasawa
+	On the Zeta function and the automorphism group of the generalized Suzuki curve.	2019	Herivelto Borges Mariana Coutinho
+	Galois points for double-Frobenius nonclassical curves	2019	Herivelto Borges Satoru Fukasawa
+ PDF Chat	On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola	2019	Herivelto Borges Mariana Coutinho
+	On the Zeta function and the automorphism group of the generalized Suzuki curve	2019	Herivelto Borges Mariana V. C. Coutinho
+	The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines	2018	Nazar Arakelian Herivelto Borges Pietro Speziali
+ PDF Chat	Bounds for the number of points on curves over finite fields	2018	Nazar Arakelian Herivelto Borges
+	Galois points for double-Frobenius nonclassical curves	2018	Herivelto Borges Satoru Fukasawa
+ PDF Chat	Weierstrass points on Kummer extensions	2018	Miriam Abdón Herivelto Borges Luciane Quoos
+	Plane sections of Fermat surfaces over finite fields	2018	Herivelto Borges Gary Cook Mariana Coutinho
+	Subcovers and codes on the $X_{n,r}$ curves	2018	Herivelto Borges Alonso S. Castellanos Guilherme Tizziotti
+	The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines	2018	Nazar Arakelian Herivelto Borges Pietro Speziali
+	Galois points for double-Frobenius nonclassical curves	2018	Herivelto Borges Satoru Fukasawa
+	Subcovers and codes on the $X_{n,r}$ curves	2018	Herivelto Borges Alonso S. Castellanos Guilherme Tizziotti
+	A new family of Castle and Frobenius nonclassical curves	2017	Herivelto Borges Ricardo Conceição
+ PDF Chat	Frobenius nonclassicality of Fermat curves with respect to cubics	2017	Nazar Arakelian Herivelto Borges
+ PDF Chat	Points on singular Frobenius nonclassical curves	2016	Herivelto Borges Masaaki Homma
+	Bounds for the number of points on curves over finite fields	2016	Nazar Arakelian Herivelto Borges
+	Curves from slices of Fermat surfaces over 'F IND. Q'	2016	Herivelto Borges Gary Cook
+	Bounds for the number of points on curves over finite fields	2016	Nazar Arakelian Herivelto Borges
+	Frobenius nonclassical components of curves with separated variables	2015	Herivelto Borges
+	Weierstrass semigroup and automorphism group of the curves <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">X</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:math>	2015	Herivelto Borges Alonso S. Castellanos Guilherme Tizziotti
+	Frobenius nonclassicality of Fermat curves with respect to cubics	2015	Nazar Arakelian Herivelto Borges
+	Points on singular Frobenius nonclassical curves	2015	Herivelto Borges Masaaki Homma
+ PDF Chat	Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree	2015	Nazar Arakelian Herivelto Borges
+	Frobenius nonclassicality of Fermat curves with respect to cubics	2015	Nazar Arakelian Herivelto Borges
+	Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree	2014	Nazar Arakelian Herivelto Borges
+	Complete arcs arising from a generalization of the Hermitian curve	2014	Herivelto Borges Beatriz Motta Fernando Torres
+	Minimal value set polynomials and a generalization of the Hermitian curve	2014	Herivelto Borges Ricardo Conceição
+	Weierstrass semigroup and Automorphism group of the curves $\mathcal{X}_{n,r}$	2014	Herivelto Borges Alonso S. Castellanos Guilherme Tizziotti
+ PDF Chat	Complete arcs arising from a generalization of the Hermitian curve	2014	Herivelto Borges Beatriz Motta Fernando Torres
+	Complete arcs arising from a generalization of the Hermitian curve	2014	Herivelto Borges Beatriz Motta Fernando Torres
+	Minimal value set polynomials and a generalization of the Hermitian curve	2014	Herivelto Borges Ricardo Conceição
+	Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree	2014	Nazar Arakelian Herivelto Borges
+	Frobenius nonclassical components of curves with separated variables	2013	Herivelto Borges
+	Weierstrass points on Kummer extensions	2013	Miriam Abdón Herivelto Borges Luciane Quoos
+	Complete arcs arising from a generalization of the Hermitian curve (extended abstract)	2013	Herivelto Borges Beatriz Motta Fernando Torres
+	On the characterization of minimal value set polynomials	2013	Herivelto Borges Ricardo Conceição
+	Weierstrass points on Kummer extensions	2013	Miriam Abdón Herivelto Borges Luciane Quoos
+	Frobenius nonclassical components of curves with separated variables	2013	Herivelto Borges
+	On the characterization of minimal value set polynomials	2011	Herivelto Borges Ricardo Conceição
+	On the characterization of minimal value set polynomials	2011	Herivelto Borges Ricardo Conceição
+	On multi-Frobenius non-classical plane curves	2009	Herivelto Borges
+	On complete <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-arcs derived from plane curves	2008	Herivelto Borges
+	Uma torre de extensões de Artin-Schreier atingindo a cota de Drinfeld-Vladut	2003	Herivelto Borges

Common Coauthors

Coauthor	Papers Together
Nazar Arakelian	12
Ricardo Conceição	6
Satoru Fukasawa	5
Guilherme Tizziotti	4
Beatriz Motta	4
Pietro Speziali	4
Luciane Quoos	4
Alonso S. Castellanos	4
Fernando Torres	4
Mariana Coutinho	4
Miriam Abdón	3
Masaaki Homma	2
Cirilo Gonçalves	2
Gary Cook	1
Roberto Alvarenga	1
Gábor Korchmáros	1
José Alves Oliveira	1
Cecília Salgado	1
Fabio Enrique Brochero Martínez	1
Gary Cook	1
Daniele Bartoli	1
João Paulo Guardieiro	1
Jaap Top	1
Gregory Duran	1
Mariana V. C. Coutinho	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Algebraic Curves over a Finite Field	2008	J. W. P. Hirschfeld Gábor Korchmáros Fernando Torres	18
+	Weierstrass Points and Curves Over Finite Fields	1986	Karl-Otto Stöhr José Felipe Voloch	15
+	Frobenius non classical curves	1990	Abramo Hefez José Felipe Voloch	12
+	On multi-Frobenius non-classical plane curves	2009	Herivelto Borges	10
+	None	2002	Massimo Giulietti Fernanda Pambianco Fernando Torres Emanuela Ughi	9
+	On complete <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-arcs derived from plane curves	2008	Herivelto Borges	8
+	Fermat curves over finite fields	1988	Alberto González García José Felipe Voloch	6
+ PDF Chat	Polynomials with minimal value sets	1964	William Hobson Mills	6
+	Frobenius nonclassical components of curves with separated variables	2015	Herivelto Borges	6
+	None	2001	Gretchen L. Matthews	5
+	On the characterization of minimal value set polynomials	2013	Herivelto Borges Ricardo Conceição	5
+	Projective Geometries over Finite Fields	1998	J. W. P. Hirschfeld	5
+	Generalized Hermitian Codes Over$hboxGF,(2^r)$	2006	Stanislav Bulygin	5
+	Some remarks on plane curves over fields of finite characteristic	1986	Rita Pardini	5
+	The Number of Rational Points of a Class of Artin–Schreier Curves	2002	Robert S. Coulter	4
+	Algebraic Geometry Codes from Castle Curves	2008	Carlos Munuera Alonso S. Castellanos Fernando Torres	4
+	A Class of Polynomials over Finite Fields	1999	Arnaldo Garcia Henning Stichtenoth	4
+	On the Number of Solutions of an Equation Over a Finite Field	2001	J. W. P. Hirschfeld Gábor Korchmáros	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+	Wronskians and linear independence in fields of prime characteristic	1987	Arnaldo Garcia José Felipe Voloch	4
+ PDF Chat	Explicit evaluations of some Weil sums	1998	Robert S. Coulter	4
+	Determining irreducibility and ramification groups for an additive extension of the rational function field	2002	Vinay Deolalikar	4
+	On maximal curves of Fermat type	2013	Saeed Tafazolian Fernando Torres	4
+ PDF Chat	Weierstrass points on cyclic covers of the projective line	1996	Christopher Towse	3
+	On a bound of Garcia and Voloch for the number of points of a Fermat curve over a prime field	2006	Sandro Mattarei	3
+ PDF Chat	None	2000	Antonio Cossidente J. W. P. Hirschfeld Gábor Korchmáros Fernando Torres	3
+	On the evaluation of a class of Weil sums in characteristic 2	1999	Robert S. Coulter	3
+	The 𝑎-numbers of Jacobians of Suzuki curves	2013	Holley Friedlander Derek Garton Beth Malmskog Rachel Pries Colin Weir	3
+	The curvesy n =f(x) over finite fields	1990	Arnaldo Garcia	3
+ PDF Chat	Further evaluations of Weil sums	1998	Robert S. Coulter	3
+	Frobenius nonclassical components of curves with separated variables	2013	Herivelto Borges	3
+	On the number of rational points on some families of Fermat curves over finite fields	2005	Marko Moisio	3
+	Minimal value set polynomials and a generalization of the Hermitian curve	2014	Herivelto Borges Ricardo Conceição	3
+	On Goppa Codes and Weierstrass Gaps at Several Points	2005	Cícero Carvalho Fernando Torres	3
+	Sziklai's conjecture on the number of points of a plane curve over a finite field III	2010	Masaaki Homma Seon Jeong Kim	3
+	Algebraic curves with many automorphisms	2019	Massimo Giulietti Gábor Korchmáros	3
+	Field Theory for Function Fields of Plane Quartic Curves	2000	Kei Miura Hisao Yoshihara	3
+	Function Field Theory of Plane Curves by Dual Curves	2001	Hisao Yoshihara	3
+	Generalized Hermitian codes	2012	Carlos Munuera Alonso S. Castellanos Fernando Torres	3
+	Elementary Abelianp-extensions of algebraic function fields	1991	Arnaldo Garcia Henning Stichtenoth	3
+	On the number of Galois points for a plane curve in positive characteristic, III	2009	Satoru Fukasawa	3
+	The number of points on certain algebraic curves over finite fields	1989	Jacques Wolfmann	3
+	On the Dickson–Guralnick–Zieve curve	2018	Massimo Giulietti Gábor Korchmáros Marco Timpanella	3
+ PDF Chat	Frobenius nonclassicality of Fermat curves with respect to cubics	2017	Nazar Arakelian Herivelto Borges	2
+ PDF Chat	Deligne-Lusztig curves as ray class fields	1999	Kristin Lauter	2
+	The p-rank of Artin-Schreier curves	1975	Dor� Subrao	2
+	Weierstrass points in characteristicp	1980	Robert C. Valentini Manohar L. Madan	2
+ PDF Chat	Suzuki-invariant codes from the Suzuki curve	2015	Abdulla Eid Hilaf Hasson Amy Ksir Justin D. Peachey	2
+	Algebraic Curves over Finite Fields	1991	Carlos Moreno	2
+ PDF Chat	On Certain Plane Curves with Many Integral Points	1999	Fernando Rodríguez Villegas José Felipe Voloch	2