18 ≤ C(45,12,2) ≤ 19

Created by: LJCR

Method of Construction: Multiple of (15,4,2) covering

Lower Bound: Horsley, Theorem 1, r=4, d=0

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