Information on Result #521816
There is no (8, 36, 42)-net in base 4, because extracting embedded orthogonal array would yield OA(436, 42, S4, 28), but
- the linear programming bound shows that M ≥ 13 298184 015760 920921 767936 / 2465 > 436 [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 (8, 37, 42)-net in base 4 | [i] | m-Reduction | |
| 2 | No (8, 38, 42)-net in base 4 | [i] | ||
| 3 | No (8, 39, 42)-net in base 4 | [i] | ||
| 4 | No (8, 40, 42)-net in base 4 | [i] | ||
| 5 | No (8, 41, 42)-net in base 4 | [i] | ||
| 6 | No (8, 42, 42)-net in base 4 | [i] | ||
| 7 | No (8, 43, 42)-net in base 4 | [i] | ||
| 8 | No (8, 44, 42)-net in base 4 | [i] | ||
| 9 | No (8, 45, 42)-net in base 4 | [i] | ||
| 10 | No (8, 46, 42)-net in base 4 | [i] | ||
| 11 | No (8, 47, 42)-net in base 4 | [i] | ||
| 12 | No (8, 48, 42)-net in base 4 | [i] | ||
| 13 | No (8, 49, 42)-net in base 4 | [i] | ||
| 14 | No (8, 50, 42)-net in base 4 | [i] | ||
| 15 | No (8, 51, 42)-net in base 4 | [i] | ||
| 16 | No (8, 52, 42)-net in base 4 | [i] | ||
| 17 | No (8, 53, 42)-net in base 4 | [i] | ||
| 18 | No (8, 54, 42)-net in base 4 | [i] | ||
| 19 | No (8, 55, 42)-net in base 4 | [i] | ||
| 20 | No (8, 56, 42)-net in base 4 | [i] | ||
| 21 | No (8, 57, 42)-net in base 4 | [i] | ||
| 22 | No (8, 58, 42)-net in base 4 | [i] | ||
| 23 | No (8, 59, 42)-net in base 4 | [i] | ||
| 24 | No (8, 60, 42)-net in base 4 | [i] | ||
| 25 | No (8, 61, 42)-net in base 4 | [i] | ||
| 26 | No (8, 62, 42)-net in base 4 | [i] | ||
| 27 | No (8, 63, 42)-net in base 4 | [i] | ||
| 28 | No (8, 64, 42)-net in base 4 | [i] | ||
| 29 | No (8, 65, 42)-net in base 4 | [i] | ||
| 30 | No (8, 66, 42)-net in base 4 | [i] | ||
| 31 | No (8, 67, 42)-net in base 4 | [i] | ||