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

24 | 148035889 | orthogonal array |

26 | 244140623 | fuse symbols |

28 | 387420485 | fuse symbols |

31 | 592143553 | perfect hash family |

48 | 733743102 | Martirosyan-Tran van Trung |

49 | 1152106432 | extend by one factor |

52 | 1187372490 | Martirosyan-Tran van Trung |

53 | 1700520246 | extend by one factor |

54 | 1751309604 | Martirosyan-Tran van Trung |

56 | 1752372478 | Martirosyan-Tran van Trung |

57 | 1776430657 | perfect hash family |

62 | 1924466545 | perfect hash family |

115 | 2220538321 | perfect hash family |

530 | 2368574209 | Power 24^2 |

531 | 3058101927 | extend by one factor |

532 | 3759407301 | extend by one factor |

626 | 3906249953 | Power 26^2 |

627 | 4841997271 | extend by one factor |

628 | 5777744589 | extend by one factor |

730 | 6198727745 | Power 28^2 |

735 | 7253758513 | perfect hash family |

744 | 7697866177 | perfect hash family |

1058 | 7861570930 | Martirosyan-Tran van Trung |

1060 | 7909752250 | Martirosyan-Tran van Trung |

1062 | 8993831444 | Martirosyan-Tran van Trung |

1064 | 10033026942 | Martirosyan-Tran van Trung |

1104 | 10200196626 | Martirosyan-Tran van Trung |

2210 | 10272403415 | linear hash family |

2211 | 11898521953 | extend by one factor |

2212 | 13524640491 | extend by one factor |

2213 | 15150759029 | extend by one factor |

2214 | 16623214847 | linear hash family |

4805 | 17764306561 | perfect hash family |

6477 | 18208414225 | perfect hash family |

10000 | 18356450113 | perfect hash family |