Information on Result #2026516
There is no OA(2188, 299, S2, 80), because adding a parity check bit 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 OA(2188, 299, S2, 81) | [i] | Strength Reduction | |
| 2 | No OA(2187, 298, S2, 80) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2186, 297, S2, 80) | [i] | ||
| 4 | No OA(2185, 296, S2, 80) | [i] | ||
| 5 | No OA(2184, 295, S2, 80) | [i] | ||
| 6 | No OA(2183, 294, S2, 80) | [i] | ||
| 7 | No OA(2182, 293, S2, 80) | [i] | ||
| 8 | No OA(2181, 292, S2, 80) | [i] | ||
| 9 | No OA(2180, 291, S2, 80) | [i] | ||
| 10 | No OA(2179, 290, S2, 80) | [i] | ||
| 11 | No OA(2178, 289, S2, 80) | [i] | ||
| 12 | No OA(2177, 288, S2, 80) | [i] | ||
| 13 | No OA(2176, 287, S2, 80) | [i] | ||
| 14 | No OA(2175, 286, S2, 80) | [i] | ||
| 15 | No OA(2174, 285, S2, 80) | [i] | ||
| 16 | No OA(2173, 284, S2, 80) | [i] | ||
| 17 | No OA(2172, 283, S2, 80) | [i] | ||
| 18 | No OA(2171, 282, S2, 80) | [i] | ||
| 19 | No OA(2170, 281, S2, 80) | [i] | ||
| 20 | No OA(2169, 280, S2, 80) | [i] | ||
| 21 | No OA(2168, 279, S2, 80) | [i] | ||
| 22 | No OA(2167, 278, S2, 80) | [i] | ||
| 23 | No OA(2166, 277, S2, 80) | [i] | ||
| 24 | No OA(2165, 276, S2, 80) | [i] | ||
| 25 | No OA(2164, 275, S2, 80) | [i] | ||
| 26 | No OA(2163, 274, S2, 80) | [i] | ||
| 27 | No OA(2162, 273, S2, 80) | [i] | ||
| 28 | No OA(2161, 272, S2, 80) | [i] | ||
| 29 | No OOA(2189, 299, S2, 2, 81) | [i] | m-Reduction for OOAs | |
| 30 | No OOA(2188, 299, S2, 2, 80) | [i] | Depth Reduction | |
| 31 | No OOA(2188, 299, S2, 3, 80) | [i] | ||
| 32 | No OOA(2188, 299, S2, 4, 80) | [i] | ||
| 33 | No OOA(2188, 299, S2, 5, 80) | [i] | ||
| 34 | No OOA(2188, 299, S2, 6, 80) | [i] | ||
| 35 | No OOA(2188, 299, S2, 7, 80) | [i] | ||
| 36 | No OOA(2188, 299, S2, 8, 80) | [i] | ||
| 37 | No (108, 188, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |