Information on Result #522900
There is no (6, 48, 53)-net in base 7, because extracting embedded orthogonal array would yield OA(748, 53, S7, 42), but
- the linear programming bound shows that M ≥ 1 688354 937995 529770 296589 707473 548368 684846 / 43 > 748 [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 (6, 49, 53)-net in base 7 | [i] | m-Reduction | |
| 2 | No (6, 50, 53)-net in base 7 | [i] | ||
| 3 | No (6, 51, 53)-net in base 7 | [i] | ||
| 4 | No (6, 52, 53)-net in base 7 | [i] | ||
| 5 | No (6, 53, 53)-net in base 7 | [i] | ||
| 6 | No (6, 54, 53)-net in base 7 | [i] | ||
| 7 | No (6, 55, 53)-net in base 7 | [i] | ||
| 8 | No (6, 56, 53)-net in base 7 | [i] | ||
| 9 | No (6, 57, 53)-net in base 7 | [i] | ||
| 10 | No (6, 58, 53)-net in base 7 | [i] | ||
| 11 | No (6, 59, 53)-net in base 7 | [i] | ||
| 12 | No (6, 60, 53)-net in base 7 | [i] | ||
| 13 | No (6, 61, 53)-net in base 7 | [i] | ||
| 14 | No (6, 62, 53)-net in base 7 | [i] | ||
| 15 | No (6, 63, 53)-net in base 7 | [i] | ||
| 16 | No (6, 64, 53)-net in base 7 | [i] | ||
| 17 | No (6, 65, 53)-net in base 7 | [i] | ||
| 18 | No (6, 66, 53)-net in base 7 | [i] | ||
| 19 | No (6, 67, 53)-net in base 7 | [i] | ||
| 20 | No (6, 68, 53)-net in base 7 | [i] | ||
| 21 | No (6, 69, 53)-net in base 7 | [i] | ||
| 22 | No (6, 70, 53)-net in base 7 | [i] | ||
| 23 | No (6, 71, 53)-net in base 7 | [i] | ||
| 24 | No (6, 72, 53)-net in base 7 | [i] | ||
| 25 | No (6, 73, 53)-net in base 7 | [i] | ||
| 26 | No (6, 74, 53)-net in base 7 | [i] | ||
| 27 | No (6, 75, 53)-net in base 7 | [i] | ||
| 28 | No (6, 76, 53)-net in base 7 | [i] | ||
| 29 | No (6, 77, 53)-net in base 7 | [i] | ||
| 30 | No (6, 78, 53)-net in base 7 | [i] | ||
| 31 | No (6, 79, 53)-net in base 7 | [i] | ||
| 32 | No (6, 80, 53)-net in base 7 | [i] | ||
| 33 | No (6, 81, 53)-net in base 7 | [i] | ||
| 34 | No (6, 82, 53)-net in base 7 | [i] | ||
| 35 | No (6, 83, 53)-net in base 7 | [i] | ||
| 36 | No (6, 84, 53)-net in base 7 | [i] | ||
| 37 | No (6, 85, 53)-net in base 7 | [i] | ||
| 38 | No (6, 86, 53)-net in base 7 | [i] | ||
| 39 | No (6, 87, 53)-net in base 7 | [i] | ||
| 40 | No (6, 88, 53)-net in base 7 | [i] | ||
| 41 | No (6, 89, 53)-net in base 7 | [i] | ||
| 42 | No (6, 90, 53)-net in base 7 | [i] | ||
| 43 | No (6, 91, 53)-net in base 7 | [i] | ||
| 44 | No (6, 92, 53)-net in base 7 | [i] | ||
| 45 | No (6, 93, 53)-net in base 7 | [i] | ||
| 46 | No (6, 94, 53)-net in base 7 | [i] | ||
| 47 | No (6, 95, 53)-net in base 7 | [i] | ||
| 48 | No (6, 96, 53)-net in base 7 | [i] | ||
| 49 | No (6, 97, 53)-net in base 7 | [i] | ||
| 50 | No (6, 98, 53)-net in base 7 | [i] | ||