Information on Result #523095
There is no (15, 65, 241)-net in base 7, because extracting embedded orthogonal array would yield OA(765, 241, S7, 50), but
- the linear programming bound shows that M ≥ 22112 624364 978795 474538 754976 749930 094707 292079 021651 687603 190206 394263 161826 780561 387920 429787 399829 683425 235249 342283 395238 283264 / 2560 243716 514173 842701 937347 863769 540331 960625 883665 166806 472978 012051 423879 > 765 [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 (15, 66, 241)-net in base 7 | [i] | m-Reduction | |
| 2 | No (15, 67, 241)-net in base 7 | [i] | ||
| 3 | No (15, 68, 241)-net in base 7 | [i] | ||
| 4 | No (15, 69, 241)-net in base 7 | [i] | ||
| 5 | No (15, 70, 241)-net in base 7 | [i] | ||
| 6 | No (15, 71, 241)-net in base 7 | [i] | ||
| 7 | No (15, 72, 241)-net in base 7 | [i] | ||
| 8 | No (15, 73, 241)-net in base 7 | [i] | ||
| 9 | No (15, 74, 241)-net in base 7 | [i] | ||
| 10 | No (15, 75, 241)-net in base 7 | [i] | ||
| 11 | No (15, 76, 241)-net in base 7 | [i] | ||