Information on Result #520237
There is no (28, 62, 66)-net in base 2, because extracting embedded orthogonal array would yield OA(262, 66, S2, 34), but
- adding a parity check bit [i] would yield OA(263, 67, S2, 35), but
- the (dual) Plotkin bound shows that M ≥ 92 233720 368547 758080 / 9 > 263 [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 (28, 63, 66)-net in base 2 | [i] | m-Reduction | |