Information on Result #130661
There is no OOA(2112, 117, S2, 2, 59), because 1 step m-reduction 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(2112, 117, S2, 3, 59) | [i] | Depth Reduction | |
| 2 | No OOA(2112, 117, S2, 4, 59) | [i] | ||
| 3 | No OOA(2112, 117, S2, 5, 59) | [i] | ||
| 4 | No OOA(2112, 117, S2, 6, 59) | [i] | ||
| 5 | No OOA(2112, 117, S2, 7, 59) | [i] | ||
| 6 | No OOA(2112, 117, S2, 8, 59) | [i] | ||