Information on Result #521741
There is no (73, 228, 233)-net in base 3, because extracting embedded orthogonal array would yield OA(3228, 233, S3, 155), but
- the (dual) Plotkin bound shows that M ≥ 164 062694 609488 086547 539746 812648 575659 318856 476507 740436 897453 222447 961474 036515 706307 096943 652603 236842 951947 / 26 > 3228 [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 (73, 229, 233)-net in base 3 | [i] | m-Reduction | |
| 2 | No (73, 230, 233)-net in base 3 | [i] | ||
| 3 | No (73, 231, 233)-net in base 3 | [i] | ||
| 4 | No (73, 232, 233)-net in base 3 | [i] | ||
| 5 | No (73, 233, 233)-net in base 3 | [i] | ||
| 6 | No (73, 234, 233)-net in base 3 | [i] | ||
| 7 | No (73, 235, 233)-net in base 3 | [i] | ||
| 8 | No (73, 236, 233)-net in base 3 | [i] | ||
| 9 | No (73, 237, 233)-net in base 3 | [i] | ||
| 10 | No (73, 238, 233)-net in base 3 | [i] | ||
| 11 | No (73, 239, 233)-net in base 3 | [i] | ||
| 12 | No (73, 240, 233)-net in base 3 | [i] | ||
| 13 | No (73, 241, 233)-net in base 3 | [i] | ||
| 14 | No (73, 242, 233)-net in base 3 | [i] | ||
| 15 | No (73, 243, 233)-net in base 3 | [i] | ||
| 16 | No (73, 244, 233)-net in base 3 | [i] | ||
| 17 | No (73, 245, 233)-net in base 3 | [i] | ||
| 18 | No (73, 246, 233)-net in base 3 | [i] | ||
| 19 | No (73, 247, 233)-net in base 3 | [i] | ||
| 20 | No (73, 248, 233)-net in base 3 | [i] | ||
| 21 | No (73, 249, 233)-net in base 3 | [i] | ||
| 22 | No (73, 250, 233)-net in base 3 | [i] | ||