Information on Result #522407
There is no (5, 30, 35)-net in base 5, because extracting embedded orthogonal array would yield OA(530, 35, S5, 25), but
- the linear programming bound shows that M ≥ 395812 094211 578369 140625 / 403 > 530 [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 (5, 31, 35)-net in base 5 | [i] | m-Reduction | |
| 2 | No (5, 32, 35)-net in base 5 | [i] | ||
| 3 | No (5, 33, 35)-net in base 5 | [i] | ||
| 4 | No (5, 34, 35)-net in base 5 | [i] | ||
| 5 | No (5, 35, 35)-net in base 5 | [i] | ||
| 6 | No (5, 36, 35)-net in base 5 | [i] | ||
| 7 | No (5, 37, 35)-net in base 5 | [i] | ||
| 8 | No (5, 38, 35)-net in base 5 | [i] | ||
| 9 | No (5, 39, 35)-net in base 5 | [i] | ||
| 10 | No (5, 40, 35)-net in base 5 | [i] | ||
| 11 | No (5, 41, 35)-net in base 5 | [i] | ||
| 12 | No (5, 42, 35)-net in base 5 | [i] | ||
| 13 | No (5, 43, 35)-net in base 5 | [i] | ||
| 14 | No (5, 44, 35)-net in base 5 | [i] | ||
| 15 | No (5, 45, 35)-net in base 5 | [i] | ||
| 16 | No (5, 46, 35)-net in base 5 | [i] | ||
| 17 | No (5, 47, 35)-net in base 5 | [i] | ||
| 18 | No (5, 48, 35)-net in base 5 | [i] | ||
| 19 | No (5, 49, 35)-net in base 5 | [i] | ||
| 20 | No (5, 50, 35)-net in base 5 | [i] | ||
| 21 | No (5, 51, 35)-net in base 5 | [i] | ||
| 22 | No (5, 52, 35)-net in base 5 | [i] | ||
| 23 | No (5, 53, 35)-net in base 5 | [i] | ||
| 24 | No (5, 54, 35)-net in base 5 | [i] | ||
| 25 | No (5, 55, 35)-net in base 5 | [i] | ||
| 26 | No (5, 56, 35)-net in base 5 | [i] | ||
| 27 | No (5, 57, 35)-net in base 5 | [i] | ||
| 28 | No (5, 58, 35)-net in base 5 | [i] | ||
| 29 | No (5, 59, 35)-net in base 5 | [i] | ||