29 ≤ C(31,12,3) ≤ 32

Created by: LJCR

Method of Construction: Simple construction from (32,12,3)

Lower Bound: Schonheim

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