Information on Result #3050133
There is no (78, 249, 249)-net in base 3, because 5 times m-reduction would yield (78, 244, 249)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3244, 249, S3, 166), but
- the (dual) Plotkin bound shows that M ≥ 63561 249372 265538 529922 170457 092502 567086 808783 049445 812347 884970 295415 011324 387718 793675 882080 296992 140679 259510 242083 / 167 > 3244 [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.