Information on Result #2153561
There is no OA(2207, 291, S2, 94), because 8 times code embedding in larger space would yield OA(2215, 299, S2, 94), but
- adding a parity check bit [i] would yield OA(2216, 300, S2, 95), but
- the linear programming bound shows that M ≥ 872407 680551 113098 866799 953294 886066 311827 924058 628412 428016 149220 115296 187426 023936 653562 740736 / 5 938078 052347 021578 779474 608305 > 2216 [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(2208, 291, S2, 2, 95) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2207, 291, S2, 2, 94) | [i] | Depth Reduction | |
| 3 | No OOA(2207, 291, S2, 3, 94) | [i] | ||
| 4 | No OOA(2207, 291, S2, 4, 94) | [i] | ||
| 5 | No OOA(2207, 291, S2, 5, 94) | [i] | ||
| 6 | No OOA(2207, 291, S2, 6, 94) | [i] | ||
| 7 | No OOA(2207, 291, S2, 7, 94) | [i] | ||
| 8 | No OOA(2207, 291, S2, 8, 94) | [i] | ||
| 9 | No (113, 207, 291)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |