Information on Result #522427
There is no (7, 38, 46)-net in base 5, because extracting embedded orthogonal array would yield OA(538, 46, S5, 31), but
- the linear programming bound shows that M ≥ 4 092726 157978 177070 617675 781250 / 10619 > 538 [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 (7, 39, 46)-net in base 5 | [i] | m-Reduction | |
| 2 | No (7, 40, 46)-net in base 5 | [i] | ||
| 3 | No (7, 41, 46)-net in base 5 | [i] | ||
| 4 | No (7, 42, 46)-net in base 5 | [i] | ||
| 5 | No (7, 43, 46)-net in base 5 | [i] | ||
| 6 | No (7, 44, 46)-net in base 5 | [i] | ||
| 7 | No (7, 45, 46)-net in base 5 | [i] | ||
| 8 | No (7, 46, 46)-net in base 5 | [i] | ||
| 9 | No (7, 47, 46)-net in base 5 | [i] | ||
| 10 | No (7, 48, 46)-net in base 5 | [i] | ||
| 11 | No (7, 49, 46)-net in base 5 | [i] | ||
| 12 | No (7, 50, 46)-net in base 5 | [i] | ||
| 13 | No (7, 51, 46)-net in base 5 | [i] | ||
| 14 | No (7, 52, 46)-net in base 5 | [i] | ||
| 15 | No (7, 53, 46)-net in base 5 | [i] | ||
| 16 | No (7, 54, 46)-net in base 5 | [i] | ||
| 17 | No (7, 55, 46)-net in base 5 | [i] | ||
| 18 | No (7, 56, 46)-net in base 5 | [i] | ||
| 19 | No (7, 57, 46)-net in base 5 | [i] | ||
| 20 | No (7, 58, 46)-net in base 5 | [i] | ||
| 21 | No (7, 59, 46)-net in base 5 | [i] | ||
| 22 | No (7, 60, 46)-net in base 5 | [i] | ||
| 23 | No (7, 61, 46)-net in base 5 | [i] | ||
| 24 | No (7, 62, 46)-net in base 5 | [i] | ||
| 25 | No (7, 63, 46)-net in base 5 | [i] | ||
| 26 | No (7, 64, 46)-net in base 5 | [i] | ||
| 27 | No (7, 65, 46)-net in base 5 | [i] | ||
| 28 | No (7, 66, 46)-net in base 5 | [i] | ||
| 29 | No (7, 67, 46)-net in base 5 | [i] | ||
| 30 | No (7, 68, 46)-net in base 5 | [i] | ||
| 31 | No (7, 69, 46)-net in base 5 | [i] | ||
| 32 | No (7, 70, 46)-net in base 5 | [i] | ||
| 33 | No (7, 71, 46)-net in base 5 | [i] | ||
| 34 | No (7, 72, 46)-net in base 5 | [i] | ||
| 35 | No (7, 73, 46)-net in base 5 | [i] | ||
| 36 | No (7, 74, 46)-net in base 5 | [i] | ||
| 37 | No (7, 75, 46)-net in base 5 | [i] | ||
| 38 | No (7, 76, 46)-net in base 5 | [i] | ||