Information on Result #520586
There is no (66, 132, 144)-net in base 2, because extracting embedded orthogonal array would yield OA(2132, 144, S2, 66), but
- the linear programming bound shows that M ≥ 4 616951 154383 293072 271066 673634 231093 035008 / 697 > 2132 [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 (66, 133, 144)-net in base 2 | [i] | m-Reduction | |
| 2 | No (66, 134, 144)-net in base 2 | [i] | ||
| 3 | No (66, 135, 144)-net in base 2 | [i] | ||
| 4 | No (66, 136, 144)-net in base 2 | [i] | ||
| 5 | No (66, 137, 144)-net in base 2 | [i] | ||
| 6 | No (66, 138, 144)-net in base 2 | [i] | ||
| 7 | No (66, 139, 144)-net in base 2 | [i] | ||
| 8 | No (66, 140, 144)-net in base 2 | [i] | ||
| 9 | No (66, 141, 144)-net in base 2 | [i] | ||
| 10 | No (66, 142, 144)-net in base 2 | [i] | ||
| 11 | No (66, 143, 144)-net in base 2 | [i] | ||
| 12 | No (66, 144, 144)-net in base 2 | [i] | ||
| 13 | No (66, 145, 144)-net in base 2 | [i] | ||
| 14 | No (66, 146, 144)-net in base 2 | [i] | ||
| 15 | No (66, 147, 144)-net in base 2 | [i] | ||