11 ≤ C(42,15,2) ≤ 12

Created by: LJCR

Method of Construction: Multiple of (14,5,2) covering

Lower Bound: Schonheim

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