16 ≤ C(57,16,2) ≤ 18

Created by: LJCR

Method of Construction: Simple construction from (58,16,2)

Lower Bound: Horsley, Theorem 11, r=4, d=4

  1  2  3  4  5  6  7  8 30 31 32 33 34 35 36 37
  1  9 10 11 12 13 14 15 30 38 39 40 41 42 43 44
  1 16 17 18 19 20 21 22 30 45 46 47 48 49 50 51
  1 22 23 24 25 26 27 28 29 30 52 53 54 55 56 57
  2  3  4  5  6 15 22 25 29 31 32 33 34 35 44 51
  2  3  9 10 16 17 23 24 31 32 38 39 45 46 52 53
  2  3 11 12 18 19 25 26 31 32 40 41 47 48 54 55
  2  3 13 14 20 21 27 28 31 32 42 43 49 50 56 57
  2  8  9 10 11 12 13 22 29 37 38 39 40 41 42 51
  4  5  9 10 18 19 27 28 33 34 38 39 47 48 56 57
  4  5 11 12 20 21 23 24 33 34 40 41 49 50 52 53
  4  5 13 14 16 17 25 26 33 34 42 43 45 46 54 55
  6  7  9 10 20 21 25 26 35 36 38 39 49 50 54 55
  6  7 11 12 16 17 27 28 35 36 40 41 45 46 56 57
  6  7 13 14 18 19 23 24 35 36 42 43 47 48 52 53
  7  8 14 15 21 22 28 29 32 36 37 43 44 50 51 57
  8 15 16 17 18 19 20 29 37 41 44 45 46 47 48 49
  8 15 22 23 24 25 26 27 37 44 51 52 53 54 55 56