Information on Result #2153304
There is no OA(2189, 288, S2, 86), because 11 times code embedding in larger space would yield OA(2200, 299, S2, 86), but
- adding a parity check bit [i] would yield OA(2201, 300, S2, 87), but
- the linear programming bound shows that M ≥ 6062 729839 358588 077129 287653 744482 312929 554681 473387 231550 995785 979703 893542 676711 534073 403563 590830 522368 / 1273 266655 863433 158102 727954 895995 795355 723661 > 2201 [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(2190, 288, S2, 2, 87) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2189, 288, S2, 2, 86) | [i] | Depth Reduction | |
| 3 | No OOA(2189, 288, S2, 3, 86) | [i] | ||
| 4 | No OOA(2189, 288, S2, 4, 86) | [i] | ||
| 5 | No OOA(2189, 288, S2, 5, 86) | [i] | ||
| 6 | No OOA(2189, 288, S2, 6, 86) | [i] | ||
| 7 | No OOA(2189, 288, S2, 7, 86) | [i] | ||
| 8 | No OOA(2189, 288, S2, 8, 86) | [i] | ||
| 9 | No (103, 189, 288)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |