14 ≤ C(40,12,2) ≤ 16

Created by: LJCR

Method of Construction: Multiple of (20,6,2) covering

Lower Bound: Schonheim

  1  2  3 11 15 19 21 22 23 31 35 39
  1  4  5  6  8 13 21 24 25 26 28 33
  1  6  9 12 15 20 21 26 29 32 35 40
  1  7 10 11 12 16 21 27 30 31 32 36
  1  8 11 13 14 20 21 28 31 33 34 40
  1 11 16 17 18 20 21 31 36 37 38 40
  2  4  5 12 14 17 22 24 25 32 34 37
  2  6  9 10 14 18 22 26 29 30 34 38
  2  7  8 13 16 20 22 27 28 33 36 40
  3  4  5 10 19 20 23 24 25 30 39 40
  3  6  7  9 17 19 23 26 27 29 37 39
  3  8 12 13 18 19 23 28 32 33 38 39
  3 13 14 15 16 19 23 33 34 35 36 39
  4  5  6  9 11 16 24 25 26 29 31 36
  4  5  7 14 15 18 24 25 27 34 35 38
  8  9 10 13 15 17 28 29 30 33 35 37