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Works (31)

The p-rank of curves of Fermat type

Finite Fields and Their Applications
2024-08 | Journal article
Contributors: Herivelto Borges; Cirilo Gonçalves
Source: check_circle
Crossref

Plane curves with a large linear automorphism group in characteristic p

Finite Fields and Their Applications
2024-06 | Journal article
Contributors: Herivelto Borges; Gábor Korchmáros; Pietro Speziali
Source: check_circle
Crossref

On the zeta function and the automorphism group of the generalized suzuki curve

Transactions of the American Mathematical Society
2021 | Journal article
EID:

2-s2.0-85101592742

Part of ISSN: 10886850 00029947
Contributors: Borges, H.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Finite Fields and their Applications
2021 | Journal article
EID:

2-s2.0-85103647903

Part of ISSN: 10902465 10715797
Contributors: Arakelian, N.; Borges, H.; Speziali, P.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Weierstrass pure gaps on curves with three distinguished points

arXiv
2021 | Other
EID:

2-s2.0-85111443051

Part of ISSN: 23318422
Contributors: Borges, H.; Cunha, G.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Minimal value set polynomials over fields of size $p^3$

Proceedings of the American Mathematical Society
2021-06-04 | Journal article
Contributors: Herivelto Borges; Lucas Reis
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Rational functions with small value set

Journal of Algebra
2021-01 | Journal article
Contributors: Daniele Bartoli; Herivelto Borges; Luciane Quoos
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

An elementary abelian p-cover of the hermitian curve with many automorphisms

arXiv
2020 | Other
EID:

2-s2.0-85106987573

Part of ISSN: 23318422
Contributors: Borges, H.; Fukasawa, S.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Galois points for double-Frobenius nonclassical curves

Finite Fields and their Applications
2020 | Journal article
EID:

2-s2.0-85072249777

Part of ISSN: 10902465 10715797
Contributors: Borges, H.; Fukasawa, S.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

Journal of Pure and Applied Algebra
2020 | Journal article
EID:

2-s2.0-85066099908

Part of ISSN: 00224049
Contributors: Borges, H.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola

arXiv
2019 | Other
EID:

2-s2.0-85094081222

Part of ISSN: 23318422
Contributors: Borges, H.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

ON THE ZETA FUNCTION AND THE AUTOMORPHISM GROUP OF THE GENERALIZED SUZUKI CURVE

arXiv
2019 | Other
EID:

2-s2.0-85093145606

Part of ISSN: 23318422
Contributors: Borges, H.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Subcovers and Codes on a Class of Trace-Defining Curves

IEEE Transactions on Information Theory
2019 | Journal article
EID:

2-s2.0-85053156629

Part of ISSN: 00189448
Contributors: Filho, H.M.B.; Castellanos, A.S.; Tizziotti, G.C.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Weierstrass points on Kummer extensions

Advances in Geometry
2019 | Journal article
EID:

2-s2.0-85050081332

Part of ISSN: 1615715X
Contributors: Abdón, M.; Borges, H.; Quoos, L.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

A new family of Castle and Frobenius nonclassical curves

Journal of Pure and Applied Algebra
2018 | Journal article
EID:

2-s2.0-85020932580

Part of ISSN: 00224049
Contributors: Borges, H.; Conceição, R.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Bounds for the number of points on curves over finite fields

Israel Journal of Mathematics
2018 | Journal article
EID:

2-s2.0-85053038914

Part of ISSN: 15658511 00212172
Contributors: Arakelian, N.; Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Galois points for double-Frobenius nonclassical curves

arXiv
2018 | Other
EID:

2-s2.0-85092824114

Part of ISSN: 23318422
Contributors: Borges, H.; Fukasawa, S.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Plane sections of fermat surfaces over finite fields

arXiv
2018 | Other
EID:

2-s2.0-85095070302

Part of ISSN: 23318422
Contributors: Borges, H.; Cook, G.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Plane sections of Fermat surfaces over finite fields

Finite Fields and their Applications
2018 | Journal article
EID:

2-s2.0-85045693779

Part of ISSN: 10902465 10715797
Contributors: Borges, H.; Cook, G.; Coutinho, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Subcovers and codes on the xn,r curves

arXiv
2018 | Other
EID:

2-s2.0-85093728874

Part of ISSN: 23318422
Contributors: Borges, H.; Castellanos, A.S.; Tizziotti, G.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

arXiv
2018 | Other
EID:

2-s2.0-85097965310

Part of ISSN: 23318422
Contributors: Arakelian, N.; Borges, H.; Speziali, P.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Frobenius nonclassicality of Fermat curves with respect to cubics

Israel Journal of Mathematics
2017 | Journal article
EID:

2-s2.0-85015793556

Part of ISSN: 15658511 00212172
Contributors: Arakelian, N.; Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Points on singular Frobenius nonclassical curves

Bulletin of the Brazilian Mathematical Society
2017 | Journal article
EID:

2-s2.0-84991111291

Part of ISSN: 16787544
Contributors: Borges, H.; Homma, M.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Frobenius nonclassical components of curves with separated variables

Journal of Number Theory
2016 | Journal article
EID:

2-s2.0-84942540673

Part of ISSN: 0022314X
Contributors: Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree

Acta Arithmetica
2015 | Journal article
EID:

2-s2.0-84921341051

Part of ISSN: 00651036
Contributors: Arakelian, N.; Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Weierstrass semigroup and automorphism group of the curves χ<sub>n</sub>,<sub>r</sub>

Finite Fields and their Applications
2015 | Journal article
EID:

2-s2.0-84938780134

Contributors: Borges, H.; Sepúlveda, A.; Tizziotti, G.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Complete arcs arising from a generalization of the Hermitian curve

Acta Arithmetica
2014 | Journal article
EID:

2-s2.0-84907275495

Part of ISSN: 00651036
Contributors: Borges, H.; Motta, B.; Torres, F.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

Complete arcs arising from a generalization of the Hermitian curve (extended abstract)

Electronic Notes in Discrete Mathematics
2013 | Journal article
EID:

2-s2.0-84878149761

Part of ISSN: 15710653
Contributors: Borges, H.; Motta, B.; Torres, F.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

On the characterization of minimal value set polynomials

Journal of Number Theory
2013 | Journal article
EID:

2-s2.0-84872850816

Part of ISSN: 0022314X
Contributors: Borges, H.; Conceição, R.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

On complete (N, d)-arcs derived from plane curves

Finite Fields and their Applications
2009 | Journal article
EID:

2-s2.0-56449113161

Part of ISSN: 10715797 10902465
Contributors: Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier

On multi-Frobenius non-classical plane curves

Archiv der Mathematik
2009 | Journal article
EID:

2-s2.0-72349094954

Part of ISSN: 0003889X
Contributors: Borges, H.
Source: Self-asserted source
Herivelto Martins Borges Filho via Scopus - Elsevier