Information on Result #2153132
There is no OA(2178, 289, S2, 80), because 10 times code embedding in larger space would yield OA(2188, 299, S2, 80), but
- adding a parity check bit [i] would yield OA(2189, 300, S2, 81), but
- the linear programming bound shows that M ≥ 333112 132422 259965 088720 215000 611770 757764 145862 673192 223023 087630 748136 412561 549060 805697 390758 928463 024902 788757 444450 017971 109260 951552 / 284 805581 394495 166949 489186 936966 421059 043171 883994 793835 511370 537717 840519 721875 > 2189 [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(2179, 289, S2, 2, 81) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2178, 289, S2, 2, 80) | [i] | Depth Reduction | |
| 3 | No OOA(2178, 289, S2, 3, 80) | [i] | ||
| 4 | No OOA(2178, 289, S2, 4, 80) | [i] | ||
| 5 | No OOA(2178, 289, S2, 5, 80) | [i] | ||
| 6 | No OOA(2178, 289, S2, 6, 80) | [i] | ||
| 7 | No OOA(2178, 289, S2, 7, 80) | [i] | ||
| 8 | No OOA(2178, 289, S2, 8, 80) | [i] | ||
| 9 | No (98, 178, 289)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |