9 ≤ C(40,24,3) ≤ 10

Created by: LJCR

Method of Construction: Multiple of (20,12,3) covering

Lower Bound: Schonheim

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