Information on Result #520557
There is no (61, 123, 134)-net in base 2, because extracting embedded orthogonal array would yield OA(2123, 134, S2, 62), but
- the linear programming bound shows that M ≥ 2988 104534 524490 882287 758271 510214 606848 / 247 > 2123 [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 (61, 124, 134)-net in base 2 | [i] | m-Reduction | |
| 2 | No (61, 125, 134)-net in base 2 | [i] | ||
| 3 | No (61, 126, 134)-net in base 2 | [i] | ||
| 4 | No (61, 127, 134)-net in base 2 | [i] | ||
| 5 | No (61, 128, 134)-net in base 2 | [i] | ||
| 6 | No (61, 129, 134)-net in base 2 | [i] | ||
| 7 | No (61, 130, 134)-net in base 2 | [i] | ||
| 8 | No (61, 131, 134)-net in base 2 | [i] | ||
| 9 | No (61, 132, 134)-net in base 2 | [i] | ||
| 10 | No (61, 133, 134)-net in base 2 | [i] | ||
| 11 | No (61, 134, 134)-net in base 2 | [i] | ||
| 12 | No (61, 135, 134)-net in base 2 | [i] | ||
| 13 | No (61, 136, 134)-net in base 2 | [i] | ||