Information on Result #132354
There is no OOA(2187, 172, S2, 2, 107), because 21 step m-reduction would yield OA(2166, 172, S2, 86), but
- adding a parity check bit [i] would yield OA(2167, 173, S2, 87), but
- the (dual) Plotkin bound shows that M ≥ 2244 866514 940266 882360 859903 052210 718191 512386 011136 / 11 > 2167 [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(2187, 172, S2, 3, 107) | [i] | Depth Reduction | |