Information on Result #521755
There is no (77, 241, 246)-net in base 3, because extracting embedded orthogonal array would yield OA(3241, 246, S3, 164), but
- the (dual) Plotkin bound shows that M ≥ 784 706782 373648 623826 199635 272746 945272 676651 642585 750769 726974 941918 703843 510959 491279 949161 485148 051119 497030 990643 / 55 > 3241 [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 (77, 242, 246)-net in base 3 | [i] | m-Reduction | |
| 2 | No (77, 243, 246)-net in base 3 | [i] | ||
| 3 | No (77, 244, 246)-net in base 3 | [i] | ||
| 4 | No (77, 245, 246)-net in base 3 | [i] | ||
| 5 | No (77, 246, 246)-net in base 3 | [i] | ||
| 6 | No (77, 247, 246)-net in base 3 | [i] | ||
| 7 | No (77, 248, 246)-net in base 3 | [i] | ||
| 8 | No (77, 249, 246)-net in base 3 | [i] | ||
| 9 | No (77, 250, 246)-net in base 3 | [i] | ||