Information on Result #521750
There is no (75, 234, 239)-net in base 3, because extracting embedded orthogonal array would yield OA(3234, 239, S3, 159), but
- the (dual) Plotkin bound shows that M ≥ 358805 113110 950445 279469 426279 262434 966930 339114 122428 335494 730197 493691 743717 859849 693621 015768 243278 975535 908089 / 80 > 3234 [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 (75, 235, 239)-net in base 3 | [i] | m-Reduction | |
| 2 | No (75, 236, 239)-net in base 3 | [i] | ||
| 3 | No (75, 237, 239)-net in base 3 | [i] | ||
| 4 | No (75, 238, 239)-net in base 3 | [i] | ||
| 5 | No (75, 239, 239)-net in base 3 | [i] | ||
| 6 | No (75, 240, 239)-net in base 3 | [i] | ||
| 7 | No (75, 241, 239)-net in base 3 | [i] | ||
| 8 | No (75, 242, 239)-net in base 3 | [i] | ||
| 9 | No (75, 243, 239)-net in base 3 | [i] | ||
| 10 | No (75, 244, 239)-net in base 3 | [i] | ||
| 11 | No (75, 245, 239)-net in base 3 | [i] | ||
| 12 | No (75, 246, 239)-net in base 3 | [i] | ||
| 13 | No (75, 247, 239)-net in base 3 | [i] | ||
| 14 | No (75, 248, 239)-net in base 3 | [i] | ||
| 15 | No (75, 249, 239)-net in base 3 | [i] | ||
| 16 | No (75, 250, 239)-net in base 3 | [i] | ||