**k** | **N** | **Source** |

7 | 34012224 | composition |

8 | 45172485 | composition |

20 | 47045880 | fuse symbols |

21 | 86923800 | extend by one factor |

22 | 126801720 | extend by one factor |

24 | 148035884 | fuse symbols |

25 | 188183517 | perfect hash family |

40 | 229467115 | Martirosyan-Tran van Trung |

41 | 338538673 | extend by one factor |

42 | 447610231 | extend by one factor |

43 | 517504670 | perfect hash family |

45 | 611596428 | perfect hash family |

50 | 658642307 | perfect hash family |

95 | 705688186 | perfect hash family |

362 | 752734065 | Power 20^2 |

363 | 945828021 | extend by one factor |

364 | 1146875529 | extend by one factor |

365 | 1347923037 | extend by one factor |

366 | 1364330492 | perfect hash family |

515 | 1505468129 | perfect hash family |

516 | 1835360915 | extend by one factor |

520 | 2117064556 | perfect hash family |

530 | 2368574129 | Power 24^2 |

722 | 2448724477 | Martirosyan-Tran van Trung |

724 | 2485009309 | Martirosyan-Tran van Trung |

726 | 2781378571 | Martirosyan-Tran van Trung |

728 | 3085701385 | Martirosyan-Tran van Trung |

730 | 3292846827 | Martirosyan-Tran van Trung |

732 | 3309254282 | Martirosyan-Tran van Trung |

1372 | 3442006711 | linear hash family |

1373 | 3895689655 | extend by one factor |

1374 | 4349372599 | extend by one factor |

1681 | 4739541409 | linear hash family |

1682 | 5193224353 | extend by one factor |

1683 | 5646907297 | extend by one factor |

1805 | 6021872513 | perfect hash family |

1806 | 6475555457 | extend by one factor |

1810 | 6586423061 | perfect hash family |

1830 | 6633468940 | perfect hash family |

2415 | 6774606577 | perfect hash family |

10000 | 7113480535 | Power 31^3 |