Information on Result #3068926
There is no (49, 228, 211)-net in base 4, because 21 times m-reduction would yield (49, 207, 211)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4207, 211, S4, 158), but
- the (dual) Plotkin bound shows that M ≥ 2 707685 248164 858261 307045 101702 230179 137145 581421 695874 189921 465443 966120 903931 272499 975005 961073 806735 733604 454495 675614 232576 / 53 > 4207 [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.