11 ≤ C(40,22,3) ≤ 12

Created by: LJCR

Method of Construction: Multiple of (20,11,3) covering

Lower Bound: Schonheim

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