Information on Result #520227
There is no (27, 59, 64)-net in base 2, because extracting embedded orthogonal array would yield OA(259, 64, S2, 32), but
- adding a parity check bit [i] would yield OA(260, 65, S2, 33), but
- the (dual) Plotkin bound shows that M ≥ 27 670116 110564 327424 / 17 > 260 [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 (27, 60, 64)-net in base 2 | [i] | m-Reduction | |
| 2 | No (27, 61, 64)-net in base 2 | [i] | ||
| 3 | No (27, 62, 64)-net in base 2 | [i] | ||