Information on Result #522920
There is no (7, 55, 60)-net in base 7, because extracting embedded orthogonal array would yield OA(755, 60, S7, 48), but
- the linear programming bound shows that M ≥ 392948 425633 075727 327211 671891 403255 967254 645259 / 11 > 755 [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, 56, 60)-net in base 7 | [i] | m-Reduction | |
| 2 | No (7, 57, 60)-net in base 7 | [i] | ||
| 3 | No (7, 58, 60)-net in base 7 | [i] | ||
| 4 | No (7, 59, 60)-net in base 7 | [i] | ||
| 5 | No (7, 60, 60)-net in base 7 | [i] | ||
| 6 | No (7, 61, 60)-net in base 7 | [i] | ||
| 7 | No (7, 62, 60)-net in base 7 | [i] | ||
| 8 | No (7, 63, 60)-net in base 7 | [i] | ||
| 9 | No (7, 64, 60)-net in base 7 | [i] | ||
| 10 | No (7, 65, 60)-net in base 7 | [i] | ||
| 11 | No (7, 66, 60)-net in base 7 | [i] | ||
| 12 | No (7, 67, 60)-net in base 7 | [i] | ||
| 13 | No (7, 68, 60)-net in base 7 | [i] | ||
| 14 | No (7, 69, 60)-net in base 7 | [i] | ||
| 15 | No (7, 70, 60)-net in base 7 | [i] | ||
| 16 | No (7, 71, 60)-net in base 7 | [i] | ||
| 17 | No (7, 72, 60)-net in base 7 | [i] | ||
| 18 | No (7, 73, 60)-net in base 7 | [i] | ||
| 19 | No (7, 74, 60)-net in base 7 | [i] | ||
| 20 | No (7, 75, 60)-net in base 7 | [i] | ||
| 21 | No (7, 76, 60)-net in base 7 | [i] | ||
| 22 | No (7, 77, 60)-net in base 7 | [i] | ||
| 23 | No (7, 78, 60)-net in base 7 | [i] | ||
| 24 | No (7, 79, 60)-net in base 7 | [i] | ||
| 25 | No (7, 80, 60)-net in base 7 | [i] | ||
| 26 | No (7, 81, 60)-net in base 7 | [i] | ||
| 27 | No (7, 82, 60)-net in base 7 | [i] | ||
| 28 | No (7, 83, 60)-net in base 7 | [i] | ||
| 29 | No (7, 84, 60)-net in base 7 | [i] | ||
| 30 | No (7, 85, 60)-net in base 7 | [i] | ||
| 31 | No (7, 86, 60)-net in base 7 | [i] | ||
| 32 | No (7, 87, 60)-net in base 7 | [i] | ||
| 33 | No (7, 88, 60)-net in base 7 | [i] | ||
| 34 | No (7, 89, 60)-net in base 7 | [i] | ||
| 35 | No (7, 90, 60)-net in base 7 | [i] | ||
| 36 | No (7, 91, 60)-net in base 7 | [i] | ||
| 37 | No (7, 92, 60)-net in base 7 | [i] | ||
| 38 | No (7, 93, 60)-net in base 7 | [i] | ||
| 39 | No (7, 94, 60)-net in base 7 | [i] | ||
| 40 | No (7, 95, 60)-net in base 7 | [i] | ||
| 41 | No (7, 96, 60)-net in base 7 | [i] | ||
| 42 | No (7, 97, 60)-net in base 7 | [i] | ||
| 43 | No (7, 98, 60)-net in base 7 | [i] | ||
| 44 | No (7, 99, 60)-net in base 7 | [i] | ||
| 45 | No (7, 100, 60)-net in base 7 | [i] | ||
| 46 | No (7, 101, 60)-net in base 7 | [i] | ||
| 47 | No (7, 102, 60)-net in base 7 | [i] | ||
| 48 | No (7, 103, 60)-net in base 7 | [i] | ||
| 49 | No (7, 104, 60)-net in base 7 | [i] | ||
| 50 | No (7, 105, 60)-net in base 7 | [i] | ||
| 51 | No (7, 106, 60)-net in base 7 | [i] | ||
| 52 | No (7, 107, 60)-net in base 7 | [i] | ||
| 53 | No (7, 108, 60)-net in base 7 | [i] | ||
| 54 | No (7, 109, 60)-net in base 7 | [i] | ||
| 55 | No (7, 110, 60)-net in base 7 | [i] | ||