Information on Result #521746
There is no (74, 231, 236)-net in base 3, because extracting embedded orthogonal array would yield OA(3231, 236, S3, 157), but
- the (dual) Plotkin bound shows that M ≥ 13289 078263 368535 010350 719491 824534 628404 827374 597126 975388 693711 018284 879396 957772 210874 852435 860862 184279 107707 / 79 > 3231 [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 (74, 232, 236)-net in base 3 | [i] | m-Reduction | |
| 2 | No (74, 233, 236)-net in base 3 | [i] | ||
| 3 | No (74, 234, 236)-net in base 3 | [i] | ||
| 4 | No (74, 235, 236)-net in base 3 | [i] | ||
| 5 | No (74, 236, 236)-net in base 3 | [i] | ||
| 6 | No (74, 237, 236)-net in base 3 | [i] | ||
| 7 | No (74, 238, 236)-net in base 3 | [i] | ||
| 8 | No (74, 239, 236)-net in base 3 | [i] | ||
| 9 | No (74, 240, 236)-net in base 3 | [i] | ||
| 10 | No (74, 241, 236)-net in base 3 | [i] | ||
| 11 | No (74, 242, 236)-net in base 3 | [i] | ||
| 12 | No (74, 243, 236)-net in base 3 | [i] | ||
| 13 | No (74, 244, 236)-net in base 3 | [i] | ||
| 14 | No (74, 245, 236)-net in base 3 | [i] | ||
| 15 | No (74, 246, 236)-net in base 3 | [i] | ||
| 16 | No (74, 247, 236)-net in base 3 | [i] | ||
| 17 | No (74, 248, 236)-net in base 3 | [i] | ||
| 18 | No (74, 249, 236)-net in base 3 | [i] | ||
| 19 | No (74, 250, 236)-net in base 3 | [i] | ||