Information on Result #520609
There is no (74, 154, 160)-net in base 2, because extracting embedded orthogonal array would yield OA(2154, 160, S2, 80), but
- adding a parity check bit [i] would yield OA(2155, 161, S2, 81), but
- the (dual) Plotkin bound shows that M ≥ 2 192252 455996 354377 305527 249074 424529 483898 814464 / 41 > 2155 [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 (74, 155, 160)-net in base 2 | [i] | m-Reduction | |
| 2 | No (74, 156, 160)-net in base 2 | [i] | ||
| 3 | No (74, 157, 160)-net in base 2 | [i] | ||
| 4 | No (74, 158, 160)-net in base 2 | [i] | ||
| 5 | No (74, 159, 160)-net in base 2 | [i] | ||
| 6 | No (74, 160, 160)-net in base 2 | [i] | ||
| 7 | No (74, 161, 160)-net in base 2 | [i] | ||
| 8 | No (74, 162, 160)-net in base 2 | [i] | ||
| 9 | No (74, 163, 160)-net in base 2 | [i] | ||
| 10 | No (74, 164, 160)-net in base 2 | [i] | ||
| 11 | No (74, 165, 160)-net in base 2 | [i] | ||