25 ≤ C(44,10,2) ≤ 27

Created by: LJCR

Method of Construction: Multiple of (22,5,2) covering

Lower Bound: Horsley, Theorem 14a, r=5, d=2

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