Information on Result #2026527
There is no OA(2196, 299, S2, 84), because adding a parity check bit would yield OA(2197, 300, S2, 85), but
- the linear programming bound shows that M ≥ 333445 596634 842101 957662 761369 966680 970228 955880 375209 681209 067512 159971 176505 925710 036206 046927 475988 200870 117376 / 1 055603 696799 631985 996897 950925 994087 362055 971326 408581 > 2197 [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(2196, 299, S2, 85) | [i] | Strength Reduction | |
| 2 | No OA(2195, 298, S2, 84) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2194, 297, S2, 84) | [i] | ||
| 4 | No OA(2193, 296, S2, 84) | [i] | ||
| 5 | No OA(2192, 295, S2, 84) | [i] | ||
| 6 | No OA(2191, 294, S2, 84) | [i] | ||
| 7 | No OA(2190, 293, S2, 84) | [i] | ||
| 8 | No OA(2189, 292, S2, 84) | [i] | ||
| 9 | No OA(2188, 291, S2, 84) | [i] | ||
| 10 | No OA(2187, 290, S2, 84) | [i] | ||
| 11 | No OA(2186, 289, S2, 84) | [i] | ||
| 12 | No OA(2185, 288, S2, 84) | [i] | ||
| 13 | No OA(2184, 287, S2, 84) | [i] | ||
| 14 | No OA(2183, 286, S2, 84) | [i] | ||
| 15 | No OA(2182, 285, S2, 84) | [i] | ||
| 16 | No OA(2181, 284, S2, 84) | [i] | ||
| 17 | No OA(2180, 283, S2, 84) | [i] | ||
| 18 | No OA(2179, 282, S2, 84) | [i] | ||
| 19 | No OA(2178, 281, S2, 84) | [i] | ||
| 20 | No OA(2177, 280, S2, 84) | [i] | ||
| 21 | No OA(2176, 279, S2, 84) | [i] | ||
| 22 | No OA(2175, 278, S2, 84) | [i] | ||
| 23 | No OA(2174, 277, S2, 84) | [i] | ||
| 24 | No OA(2173, 276, S2, 84) | [i] | ||
| 25 | No OA(2172, 275, S2, 84) | [i] | ||
| 26 | No OA(2171, 274, S2, 84) | [i] | ||
| 27 | No OA(2170, 273, S2, 84) | [i] | ||
| 28 | No OA(2169, 272, S2, 84) | [i] | ||
| 29 | No OA(2168, 271, S2, 84) | [i] | ||
| 30 | No OA(2167, 270, S2, 84) | [i] | ||
| 31 | No OA(2166, 269, S2, 84) | [i] | ||
| 32 | No OA(2165, 268, S2, 84) | [i] | ||
| 33 | No OOA(2197, 299, S2, 2, 85) | [i] | m-Reduction for OOAs | |
| 34 | No OOA(2196, 299, S2, 2, 84) | [i] | Depth Reduction | |
| 35 | No OOA(2196, 299, S2, 3, 84) | [i] | ||
| 36 | No OOA(2196, 299, S2, 4, 84) | [i] | ||
| 37 | No OOA(2196, 299, S2, 5, 84) | [i] | ||
| 38 | No OOA(2196, 299, S2, 6, 84) | [i] | ||
| 39 | No OOA(2196, 299, S2, 7, 84) | [i] | ||
| 40 | No OOA(2196, 299, S2, 8, 84) | [i] | ||
| 41 | No (112, 196, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 42 | No linear OA(2197, 371, F2, 84) (dual of [371, 174, 85]-code) | [i] | Construction Y1 (Bound) | |