15 ≤ C(56,16,2) ≤ 17

Created by: LJCR

Method of Construction: Multiple of (28,8,2) covering

Lower Bound: Horsley, Theorem 11, r=4, d=5

  1  2  3  4  5  6 17 18 29 30 31 32 33 34 45 46
  1  2  3  4  5  6 19 20 29 30 31 32 33 34 47 48
  1  2  7  8 21 22 23 24 29 30 35 36 49 50 51 52
  1  2  9 10 13 14 25 26 29 30 37 38 41 42 53 54
  1  2 11 12 15 16 27 28 29 30 39 40 43 44 55 56
  3  4  7  8 13 14 27 28 31 32 35 36 41 42 55 56
  3  4  9 10 15 16 23 24 31 32 37 38 43 44 51 52
  3  4 11 12 21 22 25 26 31 32 39 40 49 50 53 54
  5  6  7  8 15 16 25 26 33 34 35 36 43 44 53 54
  5  6  9 10 21 22 27 28 33 34 37 38 49 50 55 56
  5  6 11 12 13 14 23 24 33 34 39 40 41 42 51 52
  7  8  9 10 11 12 17 20 35 36 37 38 39 40 45 48
  7  8  9 10 11 12 18 19 35 36 37 38 39 40 46 47
 13 14 15 16 17 19 21 22 41 42 43 44 45 47 49 50
 13 14 18 20 22 24 26 28 41 42 46 48 50 52 54 56
 15 16 18 20 21 23 25 27 43 44 46 48 49 51 53 55
 17 19 23 24 25 26 27 28 45 47 51 52 53 54 55 56