Information on Result #520284
There is no (33, 71, 76)-net in base 2, because extracting embedded orthogonal array would yield OA(271, 76, S2, 38), but
- adding a parity check bit [i] would yield OA(272, 77, S2, 39), but
- the (dual) Plotkin bound shows that M ≥ 28334 198897 217871 282176 / 5 > 272 [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 (33, 72, 76)-net in base 2 | [i] | m-Reduction | |
| 2 | No (33, 73, 76)-net in base 2 | [i] | ||
| 3 | No (33, 74, 76)-net in base 2 | [i] | ||