20 ≤ C(52,13,2) ≤ 21

Created by: LJCR

Method of Construction: Simple construction from (53,13,2)

Lower Bound: Schonheim

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