Information on Result #520219
There is no (26, 58, 62)-net in base 2, because extracting embedded orthogonal array would yield OA(258, 62, S2, 32), but
- adding a parity check bit [i] would yield OA(259, 63, S2, 33), but
- the (dual) Plotkin bound shows that M ≥ 11 529215 046068 469760 / 17 > 259 [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 (26, 59, 62)-net in base 2 | [i] | m-Reduction | |