Information on Result #2026449
There is no OA(2126, 299, S2, 50), because adding a parity check bit would yield OA(2127, 300, S2, 51), but
- the linear programming bound shows that M ≥ 68311 280696 217391 499347 177025 200921 455989 917394 449071 732453 854635 557386 567847 593067 186623 764917 500851 072163 823824 407390 333412 501125 857280 / 291 523462 914014 779723 859678 674439 955163 329953 558815 789355 418053 324666 468440 138090 214368 074041 918247 > 2127 [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 OA(2126, 299, S2, 51) | [i] | Strength Reduction | |
| 2 | No OA(2125, 298, S2, 50) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2124, 297, S2, 50) | [i] | ||
| 4 | No OA(2123, 296, S2, 50) | [i] | ||
| 5 | No OA(2122, 295, S2, 50) | [i] | ||
| 6 | No OA(2121, 294, S2, 50) | [i] | ||
| 7 | No OA(2120, 293, S2, 50) | [i] | ||
| 8 | No OOA(2127, 299, S2, 2, 51) | [i] | m-Reduction for OOAs | |
| 9 | No OOA(2126, 299, S2, 2, 50) | [i] | Depth Reduction | |
| 10 | No OOA(2126, 299, S2, 3, 50) | [i] | ||
| 11 | No OOA(2126, 299, S2, 4, 50) | [i] | ||
| 12 | No OOA(2126, 299, S2, 5, 50) | [i] | ||
| 13 | No OOA(2126, 299, S2, 6, 50) | [i] | ||
| 14 | No OOA(2126, 299, S2, 7, 50) | [i] | ||
| 15 | No OOA(2126, 299, S2, 8, 50) | [i] | ||
| 16 | No (76, 126, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |