On Goppa codes and Weierstrass gaps at several points C Carvalho, F Torres Designs, Codes and Cryptography 35, 211-225, 2005 | 110 | 2005 |

On the second Hamming weight of some Reed–Muller type codes C Carvalho Finite Fields and Their Applications 24, 88-94, 2013 | 53 | 2013 |

Projective nested cartesian codes C Carvalho, VGL Neumann, HH López Bulletin of the Brazilian Mathematical Society, New Series 48, 283-302, 2017 | 31 | 2017 |

On Weierstrass semigroups and sets: a review with new results C Carvalho, T Kato Geometriae Dedicata 139, 195-210, 2009 | 28 | 2009 |

Near orders and codes C Carvalho, C Munuera, E da Silva, F Torres IEEE transactions on information theory 53 (5), 1919-1924, 2007 | 20 | 2007 |

The next-to-minimal weights of binary projective reed–muller codes C Carvalho, VGL Neumann IEEE Transactions on Information Theory 62 (11), 6300-6303, 2016 | 18 | 2016 |

On the next-to-minimal weight of affine cartesian codes C Carvalho, VGL Neumann Finite Fields and Their Applications 44, 113-134, 2017 | 15 | 2017 |

Gröbner bases methods in coding theory C Carvalho Contemp. Math 642, 73-86, 2015 | 14 | 2015 |

Projective Reed–Muller type codes on rational normal scrolls C Carvalho, VGL Neumann Finite Fields and Their Applications 37, 85-107, 2016 | 13 | 2016 |

Codes from curves with total inflection points C Carvalho, T Kato Designs, Codes and Cryptography 45, 359-364, 2007 | 11 | 2007 |

On the existence of pairs of primitive and normal elements over finite fields C Carvalho, JP Guardieiro, VGL Neumann, G Tizziotti Bulletin of the Brazilian Mathematical Society, New Series, 1-23, 2021 | 10 | 2021 |

On V-Weierstrass sets and gaps C Carvalho Journal of Algebra 312 (2), 956-962, 2007 | 10 | 2007 |

On numerical semigroups related to covering of curves C Carvalho, F Torres Semigroup Forum 67 (3), 344-354, 2003 | 10 | 2003 |

About *r*-primitive and *k*-normal elements in finite fieldsJJR Aguirre, C Carvalho, VGL Neumann Designs, Codes and Cryptography 91 (1), 115-126, 2023 | 9 | 2023 |

On special pairs of primitive elements over a finite field C Carvalho, JP Guardieiro, VGL Neumann, G Tizziotti Finite Fields and Their Applications 73, 101839, 2021 | 7 | 2021 |

On algebras admitting a complete set of near weights, evaluation codes, and Goppa codes C Carvalho, E Silva Designs, Codes and Cryptography 53 (2), 99-110, 2009 | 7 | 2009 |

On the next-to-minimal weight of projective Reed–Muller codes C Carvalho, VGL Neumann Finite Fields and Their Applications 50, 382-390, 2018 | 6 | 2018 |

Linear systems on singular curves CF Carvalho manuscripta mathematica 98, 155-163, 1999 | 5 | 1999 |

An extension of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords to a class of Reed-Muller type codes C Carvalho, VGL Neumann, R Donagi, T Shaska Integrable Systems and Algebraic Geometry 2, 313-345, 2020 | 4 | 2020 |

Funções ordens fracas e a distancia minima dos codigos geometricos de Goppa EC Silva [sn], 2004 | 4 | 2004 |