Information on Result #521377
There is no (32, 226, 77)-net in base 3, because extracting embedded OOA would yield OOA(3226, 77, S3, 3, 194), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 58 738495 600927 833455 292008 118108 749310 126504 170601 536699 629952 388283 838058 605666 117072 911251 431178 936647 476623 / 65 > 3226 [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 (32, 227, 77)-net in base 3 | [i] | m-Reduction | |
| 2 | No (32, 228, 77)-net in base 3 | [i] | ||
| 3 | No (32, 229, 77)-net in base 3 | [i] | ||
| 4 | No (32, 230, 77)-net in base 3 | [i] | ||
| 5 | No (32, 231, 77)-net in base 3 | [i] | ||
| 6 | No (32, 232, 77)-net in base 3 | [i] | ||
| 7 | No (32, 233, 77)-net in base 3 | [i] | ||
| 8 | No (32, 234, 77)-net in base 3 | [i] | ||
| 9 | No (32, 235, 77)-net in base 3 | [i] | ||
| 10 | No (32, 236, 77)-net in base 3 | [i] | ||
| 11 | No (32, 237, 77)-net in base 3 | [i] | ||
| 12 | No (32, 238, 77)-net in base 3 | [i] | ||
| 13 | No (32, 239, 77)-net in base 3 | [i] | ||
| 14 | No (32, 240, 77)-net in base 3 | [i] | ||
| 15 | No (32, 241, 77)-net in base 3 | [i] | ||
| 16 | No (32, 242, 77)-net in base 3 | [i] | ||
| 17 | No (32, 243, 77)-net in base 3 | [i] | ||
| 18 | No (32, 244, 77)-net in base 3 | [i] | ||
| 19 | No (32, 245, 77)-net in base 3 | [i] | ||
| 20 | No (32, 246, 77)-net in base 3 | [i] | ||
| 21 | No (32, 247, 77)-net in base 3 | [i] | ||
| 22 | No (32, 248, 77)-net in base 3 | [i] | ||
| 23 | No (32, 249, 77)-net in base 3 | [i] | ||
| 24 | No (32, 250, 77)-net in base 3 | [i] | ||