9 ≤ C(30,18,3) ≤ 10

Created by: LJCR

Method of Construction: Multiple of (15,9,3) covering

Lower Bound: Schonheim

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