9 ≤ C(42,24,3) ≤ 11

Created by: LJCR

Method of Construction: Multiple of (21,12,3) covering

Lower Bound: Schonheim

  1  2  3  5  8 11 12 13 14 16 18 19 22 23 24 26 29 32 33 34 35 37 39 40
  1  2  4  7  8 10 12 13 15 18 19 21 22 23 25 28 29 31 33 34 36 39 40 42
  1  2  5  6  7  9 12 13 16 17 18 20 22 23 26 27 28 30 33 34 37 38 39 41
  1  3  4  5  9 10 12 14 15 16 20 21 22 24 25 26 30 31 33 35 36 37 41 42
  1  3  5  6  7 10 11 12 14 17 18 21 22 24 26 27 28 31 32 33 35 38 39 42
  1  4  6  8  9 11 12 15 17 18 19 20 22 25 27 29 30 32 33 36 38 39 40 41
  2  3  4  5  6 10 11 13 15 16 17 21 23 24 25 26 27 31 32 34 36 37 38 42
  2  3  4  7  8  9 11 13 14 15 18 20 23 24 25 28 29 30 32 34 35 36 39 41
  2  3  6  8  9 10 13 14 17 19 20 21 23 24 27 29 30 31 34 35 38 40 41 42
  3  4  5  6  7  8 14 15 16 17 18 19 24 25 26 27 28 29 35 36 37 38 39 40
  5  7  8  9 10 11 14 16 18 19 20 21 26 28 29 30 31 32 35 37 39 40 41 42