21 ≤ C(32,18,4) ≤ 26

Created by: LJCR

Method of Construction: Multiple of (16,9,4) covering

Lower Bound: Horsley-Singh, Theorem 6, s=1

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