Information on Result #523187
There is no (3, 33, 37)-net in base 8, because extracting embedded orthogonal array would yield OA(833, 37, S8, 30), but
- the linear programming bound shows that M ≥ 299 165541 653862 138753 221956 468736 / 465 > 833 [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 (3, 34, 37)-net in base 8 | [i] | m-Reduction | |
| 2 | No (3, 35, 37)-net in base 8 | [i] | ||
| 3 | No (3, 36, 37)-net in base 8 | [i] | ||
| 4 | No (3, 37, 37)-net in base 8 | [i] | ||
| 5 | No (3, 38, 37)-net in base 8 | [i] | ||
| 6 | No (3, 39, 37)-net in base 8 | [i] | ||
| 7 | No (3, 40, 37)-net in base 8 | [i] | ||
| 8 | No (3, 41, 37)-net in base 8 | [i] | ||
| 9 | No (3, 42, 37)-net in base 8 | [i] | ||
| 10 | No (3, 43, 37)-net in base 8 | [i] | ||
| 11 | No (3, 44, 37)-net in base 8 | [i] | ||
| 12 | No (3, 45, 37)-net in base 8 | [i] | ||
| 13 | No (3, 46, 37)-net in base 8 | [i] | ||
| 14 | No (3, 47, 37)-net in base 8 | [i] | ||
| 15 | No (3, 48, 37)-net in base 8 | [i] | ||
| 16 | No (3, 49, 37)-net in base 8 | [i] | ||
| 17 | No (3, 50, 37)-net in base 8 | [i] | ||
| 18 | No (3, 51, 37)-net in base 8 | [i] | ||
| 19 | No (3, 52, 37)-net in base 8 | [i] | ||
| 20 | No (3, 53, 37)-net in base 8 | [i] | ||
| 21 | No (3, 54, 37)-net in base 8 | [i] | ||
| 22 | No (3, 55, 37)-net in base 8 | [i] | ||
| 23 | No (3, 56, 37)-net in base 8 | [i] | ||
| 24 | No (3, 57, 37)-net in base 8 | [i] | ||
| 25 | No (3, 58, 37)-net in base 8 | [i] | ||
| 26 | No (3, 59, 37)-net in base 8 | [i] | ||
| 27 | No (3, 60, 37)-net in base 8 | [i] | ||
| 28 | No (3, 61, 37)-net in base 8 | [i] | ||
| 29 | No (3, 62, 37)-net in base 8 | [i] | ||
| 30 | No (3, 63, 37)-net in base 8 | [i] | ||
| 31 | No (3, 64, 37)-net in base 8 | [i] | ||
| 32 | No (3, 65, 37)-net in base 8 | [i] | ||
| 33 | No (3, 66, 37)-net in base 8 | [i] | ||
| 34 | No (3, 67, 37)-net in base 8 | [i] | ||
| 35 | No (3, 68, 37)-net in base 8 | [i] | ||