14 ≤ C(36,18,3) ≤ 15

Created by: LJCR

Method of Construction: Multiple of (12,6,3) covering

Lower Bound: Schonheim

  1  2  3  4  5  6 13 14 15 16 17 18 25 26 27 28 29 30
  1  2  3  4  9 10 13 14 15 16 21 22 25 26 27 28 33 34
  1  2  3  9 11 12 13 14 15 21 23 24 25 26 27 33 35 36
  1  2  7  8  9 10 13 14 19 20 21 22 25 26 31 32 33 34
  1  3  6  7 10 12 13 15 18 19 22 24 25 27 30 31 34 36
  1  3  6  8  9 11 13 15 18 20 21 23 25 27 30 32 33 35
  1  4  5  7 10 11 13 16 17 19 22 23 25 28 29 31 34 35
  1  4  5  8  9 12 13 16 17 20 21 24 25 28 29 32 33 36
  2  3  5  7  9 12 14 15 17 19 21 24 26 27 29 31 33 36
  2  3  5  8 10 11 14 15 17 20 22 23 26 27 29 32 34 35
  2  4  6  7  9 11 14 16 18 19 21 23 26 28 30 31 33 35
  2  4  6  8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
  3  4  7  8 11 12 15 16 19 20 23 24 27 28 31 32 35 36
  3  5  6  7  8  9 15 17 18 19 20 21 27 29 30 31 32 33
  5  6  9 10 11 12 17 18 21 22 23 24 29 30 33 34 35 36