## Abstract

For $n \geq 9$, we construct maximal partial line spreads for non-singular quadrics of $PG(n,q)$ for every size between approximately $(cn+d)(q^{n-3}+q^{n-5})\log{2q}$ and $q^{n-2}$, for some small constants $c$ and $d$.

These results are similar to spectrum results on maximal partial line spreads in finite projective spaces by Heden, and by G\'acs and Sz\H onyi. These results also extend spectrum results on maximal partial line spreads in the finite generalized quadrangles $W_3(q)$ and $Q(4,q)$ by Pepe, R\"{o}{\ss}ing and Storme.

These results are similar to spectrum results on maximal partial line spreads in finite projective spaces by Heden, and by G\'acs and Sz\H onyi. These results also extend spectrum results on maximal partial line spreads in the finite generalized quadrangles $W_3(q)$ and $Q(4,q)$ by Pepe, R\"{o}{\ss}ing and Storme.

Original language | English |
---|---|

Pages (from-to) | 33-51 |

Number of pages | 19 |

Journal | Designs, Codes and Cryptography |

Volume | 72 |

Publication status | Published - 1 Jan 2013 |

## Keywords

- quadrics
- maximal partial line spreads
- spectrum results