17 ≤ C(22,10,3) ≤ 19

Method of Construction: simple construction: induced on c(23,11,4) covering

Lower Bound: Horsley-Singh, Theorem 18a, s=1

  3  7  8  9 13 14 15 19 20 21
  4  7  8 10 13 14 16 19 20 22
  2  5  7  8 11 13 14 17 19 20
  1  2  3  4  5  6 19 20 21 22
  3  4  5  6 13 14 15 16 17 18
  3  4  5  6  7  8  9 10 11 12
  1  6  7  8 12 13 14 18 19 20
  1  6  9 10 11 15 16 17 19 20
  2  5  9 10 12 15 16 18 19 20
  4  9 11 12 15 17 18 19 20 22
  3 10 11 12 16 17 18 19 20 21
  2  6  9 10 11 13 14 18 21 22
  1  5  9 10 12 13 14 17 21 22
  1  2  3  7  8  9 16 17 18 22
  1  2  4  7  8 10 15 17 18 21
  1  5  7  8 11 15 16 18 21 22
  2  6  7  8 12 15 16 17 21 22
  1  2  4  9 11 12 13 14 16 21
  1  2  3 10 11 12 13 14 15 22