17 ≤ C(44,20,3) ≤ 19

Created by: LJCR

Method of Construction: Multiple of (22,10,3) covering

Lower Bound: Horsley-Singh, Theorem 15, s=1

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