Information on Result #132180
There is no OOA(2181, 180, S2, 2, 97), because 7 step m-reduction would yield OA(2174, 180, S2, 90), but
- adding a parity check bit [i] would yield OA(2175, 181, S2, 91), but
- the (dual) Plotkin bound shows that M ≥ 1 149371 655649 416643 768760 270362 731887 714054 341637 701632 / 23 > 2175 [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(2181, 180, S2, 3, 97) | [i] | Depth Reduction | |
| 2 | No OOA(2181, 180, S2, 4, 97) | [i] | ||
| 3 | No OOA(2181, 180, S2, 5, 97) | [i] | ||
| 4 | No OOA(2181, 180, S2, 6, 97) | [i] | ||
| 5 | No OOA(2181, 180, S2, 7, 97) | [i] | ||
| 6 | No OOA(2181, 180, S2, 8, 97) | [i] | ||