Information on Result #3068142
There is no (44, 251, 191)-net in base 4, because 64 times m-reduction would yield (44, 187, 191)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4187, 191, S4, 143), but
- the (dual) Plotkin bound shows that M ≥ 153914 086704 665934 422965 000391 185991 426092 731525 255651 046673 021110 334850 669910 978950 836977 558144 201721 900890 587136 / 3 > 4187 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.