16 ≤ C(53,15,2) ≤ 18

Created by: LJCR

Method of Construction: Simple construction from (54,15,2)

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

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