18 ≤ C(44,12,2) ≤ 19

Created by: LJCR

Method of Construction: Multiple of (22,6,2) covering

Lower Bound: Horsley, Theorem 14a, r=4, d=1

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