Information on Result #521728
There is no (71, 222, 227)-net in base 3, because extracting embedded orthogonal array would yield OA(3222, 227, S3, 151), but
- the (dual) Plotkin bound shows that M ≥ 675155 121849 745212 129793 196759 870681 725592 001960 937203 444022 441244 641816 765582 369161 757600 591162 976283 304329 / 76 > 3222 [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 (71, 223, 227)-net in base 3 | [i] | m-Reduction | |
| 2 | No (71, 224, 227)-net in base 3 | [i] | ||
| 3 | No (71, 225, 227)-net in base 3 | [i] | ||
| 4 | No (71, 226, 227)-net in base 3 | [i] | ||
| 5 | No (71, 227, 227)-net in base 3 | [i] | ||
| 6 | No (71, 228, 227)-net in base 3 | [i] | ||
| 7 | No (71, 229, 227)-net in base 3 | [i] | ||
| 8 | No (71, 230, 227)-net in base 3 | [i] | ||
| 9 | No (71, 231, 227)-net in base 3 | [i] | ||
| 10 | No (71, 232, 227)-net in base 3 | [i] | ||
| 11 | No (71, 233, 227)-net in base 3 | [i] | ||
| 12 | No (71, 234, 227)-net in base 3 | [i] | ||
| 13 | No (71, 235, 227)-net in base 3 | [i] | ||
| 14 | No (71, 236, 227)-net in base 3 | [i] | ||
| 15 | No (71, 237, 227)-net in base 3 | [i] | ||
| 16 | No (71, 238, 227)-net in base 3 | [i] | ||
| 17 | No (71, 239, 227)-net in base 3 | [i] | ||
| 18 | No (71, 240, 227)-net in base 3 | [i] | ||
| 19 | No (71, 241, 227)-net in base 3 | [i] | ||
| 20 | No (71, 242, 227)-net in base 3 | [i] | ||
| 21 | No (71, 243, 227)-net in base 3 | [i] | ||
| 22 | No (71, 244, 227)-net in base 3 | [i] | ||
| 23 | No (71, 245, 227)-net in base 3 | [i] | ||
| 24 | No (71, 246, 227)-net in base 3 | [i] | ||
| 25 | No (71, 247, 227)-net in base 3 | [i] | ||
| 26 | No (71, 248, 227)-net in base 3 | [i] | ||
| 27 | No (71, 249, 227)-net in base 3 | [i] | ||
| 28 | No (71, 250, 227)-net in base 3 | [i] | ||