Information on Result #520304
There is no (35, 75, 80)-net in base 2, because extracting embedded orthogonal array would yield OA(275, 80, S2, 40), but
- adding a parity check bit [i] would yield OA(276, 81, S2, 41), but
- the (dual) Plotkin bound shows that M ≥ 604462 909807 314587 353088 / 7 > 276 [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 (35, 76, 80)-net in base 2 | [i] | m-Reduction | |
| 2 | No (35, 77, 80)-net in base 2 | [i] | ||
| 3 | No (35, 78, 80)-net in base 2 | [i] | ||
| 4 | No (35, 79, 80)-net in base 2 | [i] | ||
| 5 | No (35, 80, 80)-net in base 2 | [i] | ||