lower bound = 53

C(46,7,2) = 53

Created by: Colin Barker

Method of Construction: Constructed from a 7-GDD of type 3^15

Lower Bound: Schonheim

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