Information on Result #520492
There is no (53, 111, 117)-net in base 2, because extracting embedded orthogonal array would yield OA(2111, 117, S2, 58), but
- adding a parity check bit [i] would yield OA(2112, 118, S2, 59), but
- the (dual) Plotkin bound shows that M ≥ 83076 749736 557242 056487 941267 521536 / 15 > 2112 [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 (53, 112, 117)-net in base 2 | [i] | m-Reduction | |
| 2 | No (53, 113, 117)-net in base 2 | [i] | ||
| 3 | No (53, 114, 117)-net in base 2 | [i] | ||
| 4 | No (53, 115, 117)-net in base 2 | [i] | ||
| 5 | No (53, 116, 117)-net in base 2 | [i] | ||
| 6 | No (53, 117, 117)-net in base 2 | [i] | ||
| 7 | No (53, 118, 117)-net in base 2 | [i] | ||
| 8 | No (53, 119, 117)-net in base 2 | [i] | ||
| 9 | No (53, 120, 117)-net in base 2 | [i] | ||