lower bound = 63

C(35,5,2) = 63

Created by: Jan de Heer and Steve Muir

Method of Construction: Cyclic Covering on Z5*Z7

Lower Bound: Schonheim

  1  2 23 30 32
  1  3  8 18 35
  1  4 15 22 28
  1  5 19 25 26
  1  6 13 16 33
  1  7 22 29 31
  1  9 20 28 34
  1 10 11 24 27
  1 12 14 17 21
  2  3 24 31 33
  2  4  9 19 29
  2  5 16 22 23
  2  6 20 26 27
  2  7 14 17 34
  2  8 13 15 18
  2 10 21 22 35
  2 11 12 25 28
  3  4 25 32 34
  3  5 10 20 30
  3  6 17 23 24
  3  7 21 27 28
  3  9 14 16 19
  3 11 15 23 29
  3 12 13 22 26
  4  5 26 33 35
  4  6 11 21 31
  4  7 18 24 25
  4  8 10 17 20
  4 12 16 24 30
  4 13 14 23 27
  5  6 27 29 34
  5  7 12 15 32
  5  8 14 24 28
  5  9 11 18 21
  5 13 17 25 31
  6  7 28 30 35
  6  8  9 22 25
  6 10 12 15 19
  6 14 18 26 32
  7  8 19 27 33
  7  9 10 23 26
  7 11 13 16 20
  8 11 26 30 31
  8 12 23 34 35
  8 16 21 29 32
  9 12 27 31 32
  9 13 24 29 35
  9 15 17 30 33
 10 13 28 32 33
 10 14 25 29 30
 10 16 18 31 34
 11 14 22 33 34
 11 17 19 32 35
 12 18 20 29 33
 13 19 21 30 34
 14 15 20 31 35
 15 16 25 27 35
 15 21 24 26 34
 16 17 26 28 29
 17 18 22 27 30
 18 19 23 28 31
 19 20 22 24 32
 20 21 23 25 33