Information on Result #129785
There is no OOA(253, 57, S2, 2, 29), because 1 step m-reduction would yield OA(252, 57, S2, 28), but
- adding a parity check bit [i] would yield OA(253, 58, S2, 29), but
- the (dual) Plotkin bound shows that M ≥ 144115 188075 855872 / 15 > 253 [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(253, 57, S2, 3, 29) | [i] | Depth Reduction | |
| 2 | No OOA(253, 57, S2, 4, 29) | [i] | ||
| 3 | No OOA(253, 57, S2, 5, 29) | [i] | ||
| 4 | No OOA(253, 57, S2, 6, 29) | [i] | ||
| 5 | No OOA(253, 57, S2, 7, 29) | [i] | ||
| 6 | No OOA(253, 57, S2, 8, 29) | [i] | ||