20 ≤ C(56,14,2) ≤ 21

Created by: Colin Barker

Method of Construction: Constructed from c(v+1,k,t,t)

Lower Bound: Schonheim

  1  2  3  4  5  6  7  8  9 10 11 12 13 14
  1  2  3  7 15 19 23 24 33 34 46 51 53 55
  1  2  5  8  9 24 27 31 35 37 45 46 47 50
  1  3  5 16 17 21 27 28 29 32 37 41 48 49
  1  3  9 25 30 31 39 40 43 44 45 47 52 54
  1  3 12 18 20 22 25 26 35 36 38 42 50 56
  1  4 10 16 20 24 26 30 46 48 49 52 54 56
  1  6 11 12 21 22 24 28 40 41 42 43 46 47
  1 13 14 17 18 24 25 29 32 36 38 39 44 46
  2  7  8 12 17 22 29 30 32 42 52 53 54 55
  2  8 15 19 20 21 25 26 28 39 41 44 51 56
  2  8 16 18 23 33 34 36 38 40 43 47 48 49
  4  5 10 12 22 23 25 27 33 34 37 39 42 44
  4  7  9 10 18 21 28 31 36 38 41 45 53 55
  4  8 10 15 17 19 29 32 35 40 43 47 50 51
  5  6 11 15 18 19 27 30 36 37 38 51 52 54
  5  7 13 14 20 26 27 37 40 43 47 53 55 56
  6  7 11 16 25 35 39 44 47 48 49 50 53 55
  6  9 11 17 20 23 26 29 31 32 33 34 45 56
  9 12 13 14 15 16 19 22 31 42 45 48 49 51
 13 14 17 21 23 28 30 33 34 35 41 50 52 54