## Abstract

We prove that the maximum number of rational points on a smooth, geometrically irreducible genus 4 curve over the field of 8 elements is 25. The body of the paper shows that 27 points is not possible by combining techniques from algebraic geometry with a computer verification. The appendix shows that 26 points is not possible by examining the zeta functions.

Original language | English (US) |
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Pages (from-to) | 331-352 |

Number of pages | 22 |

Journal | Canadian Journal of Mathematics |

Volume | 55 |

Issue number | 2 |

DOIs | |

State | Published - Apr 2003 |

Externally published | Yes |

## ASJC Scopus subject areas

- Mathematics(all)

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