### Abstract

We complete the classification of flocks of the quadratic cone in PG(3, q) for q less than or equal to 29, by showing by computer that there are exactly 8 flocks of the quadratic cone in PG(3, 19), 18 flocks of the quadratic cone in PG(3,23), 12 flocks of the quadratic cone in PG(3,25), 14 flocks of the quadratic cone in PG(3,27), and 28 flocks of the quadratic cone in PG(3,29), up to equivalence.

Original language | English |
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Pages (from-to) | S232-S244 |

Journal | Advances in Geometry |

Volume | 2003 |

Issue number | 1 |

Publication status | Published - 2003 |

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## Cite this

Law, M., & Penttila, T. (2003). Classification of flocks of the quadratic cone over fields of order at most 29.

*Advances in Geometry*,*2003*(1), S232-S244. http://www.degruyter.de/journals/advgeom/