Information on Result #2153624
There is no OA(2211, 291, S2, 96), because 8 times code embedding in larger space would yield OA(2219, 299, S2, 96), but
- adding a parity check bit [i] would yield OA(2220, 300, S2, 97), but
- the linear programming bound shows that M ≥ 2 707506 179671 220537 436761 186277 555172 982275 381427 765331 317661 637213 928123 767152 572244 071765 637582 553088 / 1 434637 915544 533146 412054 075529 090625 > 2220 [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(2212, 291, S2, 2, 97) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2211, 291, S2, 2, 96) | [i] | Depth Reduction | |
| 3 | No OOA(2211, 291, S2, 3, 96) | [i] | ||
| 4 | No OOA(2211, 291, S2, 4, 96) | [i] | ||
| 5 | No OOA(2211, 291, S2, 5, 96) | [i] | ||
| 6 | No OOA(2211, 291, S2, 6, 96) | [i] | ||
| 7 | No OOA(2211, 291, S2, 7, 96) | [i] | ||
| 8 | No OOA(2211, 291, S2, 8, 96) | [i] | ||
| 9 | No (115, 211, 291)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |