Information on Result #520483
There is no (52, 110, 115)-net in base 2, because extracting embedded orthogonal array would yield OA(2110, 115, S2, 58), but
- adding a parity check bit [i] would yield OA(2111, 116, S2, 59), but
- the (dual) Plotkin bound shows that M ≥ 41538 374868 278621 028243 970633 760768 / 15 > 2111 [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 (52, 111, 115)-net in base 2 | [i] | m-Reduction | |
| 2 | No (52, 112, 115)-net in base 2 | [i] | ||
| 3 | No (52, 113, 115)-net in base 2 | [i] | ||
| 4 | No (52, 114, 115)-net in base 2 | [i] | ||
| 5 | No (52, 115, 115)-net in base 2 | [i] | ||
| 6 | No (52, 116, 115)-net in base 2 | [i] | ||
| 7 | No (52, 117, 115)-net in base 2 | [i] | ||