Information on Result #520247
There is no (29, 63, 68)-net in base 2, because extracting embedded orthogonal array would yield OA(263, 68, S2, 34), but
- adding a parity check bit [i] would yield OA(264, 69, S2, 35), but
- the (dual) Plotkin bound shows that M ≥ 73 786976 294838 206464 / 3 > 264 [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 (29, 64, 68)-net in base 2 | [i] | m-Reduction | |
| 2 | No (29, 65, 68)-net in base 2 | [i] | ||
| 3 | No (29, 66, 68)-net in base 2 | [i] | ||