9 ≤ C(31,18,3) ≤ 11

Created by: LJCR

Method of Construction: Simple construction from (32,18,3)

Lower Bound: Schonheim

  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18
  1  2  3  5  6 10 11 12 14 15 19 20 21 22 23 24 25 26
  1  2  3  7  8  9 11 12 16 17 18 21 22 25 26 28 29 31
  1  2  3  9 10 11 12 13 18 19 20 23 24 27 28 29 30 31
  1  4  5  7  9 10 13 17 18 20 21 22 23 25 26 27 30 31
  1  4  7  8 10 12 13 16 17 19 20 22 23 24 26 28 29 31
  1  5  6  7  8 10 14 15 16 17 18 21 25 27 28 29 30 31
  2  3  4  5  6 11 12 13 14 15 20 22 26 27 28 29 30 31
  2  3  4  7  8 11 12 13 16 17 19 20 21 23 24 25 27 30
  4  5  6  9 13 14 15 17 18 19 20 21 23 24 25 28 29 31
  5  6  7  8  9 14 15 16 17 18 19 20 22 23 24 26 27 30