Information on Result #521756
There is no (78, 244, 249)-net in base 3, because extracting embedded orthogonal array 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (78, 245, 249)-net in base 3 | [i] | m-Reduction | |
| 2 | No (78, 246, 249)-net in base 3 | [i] | ||
| 3 | No (78, 247, 249)-net in base 3 | [i] | ||
| 4 | No (78, 248, 249)-net in base 3 | [i] | ||
| 5 | No (78, 249, 249)-net in base 3 | [i] | ||
| 6 | No (78, 250, 249)-net in base 3 | [i] | ||