25 ≤ C(40,9,2) ≤ 27

Created by: Colin Barker

Method of Construction: Simulated Annealing

Lower Bound: Horsley, Theorem 14a, r=5, d=1

  1  2  3  4  5  6  7  8  9
  1  4  8  9 10 16 22 25 28
  1  8 11 19 23 24 32 35 38
  1  8 12 13 15 18 20 30 34
  1  8 14 16 17 21 27 29 36
  1  8 22 26 31 33 37 39 40
  2  3 10 21 26 28 29 31 39
  2  3 11 20 22 23 32 35 36
  2  3 12 16 18 19 24 26 37
  2  3 13 14 22 30 36 38 40
  2  3 14 15 17 25 27 33 34
  4  7 10 15 16 23 32 34 40
  4  9 11 13 16 21 29 33 35
  4  9 12 14 18 23 31 32 39
  4  9 15 25 26 34 36 37 38
  4  9 17 19 20 24 27 30 40
  5  6 10 16 20 30 31 38 39
  5  6 11 12 18 25 35 36 40
  5  6 13 14 19 24 28 33 36
  5  6 13 17 23 26 27 32 37
  5  6 15 19 21 22 24 29 34
  7 10 11 14 20 26 30 35 37
  7 10 12 17 18 22 27 33 38
  7 10 13 19 24 25 31 36 39
  7 12 18 21 28 29 37 38 40
 11 15 17 27 28 31 34 35 39
 20 21 23 25 28 29 30 32 33