18 ≤ C(51,14,2) ≤ 19

Created by: LJCR

Method of Construction: Simple construction from (52,14,2)

Lower Bound: Horsley, Theorem 14a, r=4, d=2

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