Information on Result #3048893
There is no (68, 218, 218)-net in base 3, because 5 times m-reduction would yield (68, 213, 218)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3213, 218, S3, 145), but
- the (dual) Plotkin bound shows that M ≥ 34 301433 818510 654479 997622 149056 072840 806381 240712 147713 459454 414705 167747 070180 824150 668119 248233 312163 / 73 > 3213 [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.