Information on Result #58487
There is no OA(2232, 268, S2, 108), because the linear programming bound shows that M ≥ 31 015917 364418 637531 270768 022329 527868 589587 272176 065660 880357 772788 956541 131711 053824 / 4226 244518 828475 > 2232
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(2233, 269, S2, 109) | [i] | Truncation | |
| 2 | No OA(2234, 270, S2, 110) | [i] | ||
| 3 | No OA(2235, 271, S2, 111) | [i] | ||
| 4 | No OA(2236, 272, S2, 112) | [i] | ||
| 5 | No OA(2237, 273, S2, 113) | [i] | ||
| 6 | No OA(2238, 274, S2, 114) | [i] | ||
| 7 | No OA(2239, 275, S2, 115) | [i] | ||
| 8 | No OA(2240, 276, S2, 116) | [i] | ||
| 9 | No OA(2241, 277, S2, 117) | [i] | ||
| 10 | No OA(2242, 278, S2, 118) | [i] | ||
| 11 | No OA(2243, 279, S2, 119) | [i] | ||
| 12 | No OA(2244, 280, S2, 120) | [i] | ||
| 13 | No OA(2245, 281, S2, 121) | [i] | ||
| 14 | No OA(2246, 282, S2, 122) | [i] | ||
| 15 | No OA(2247, 283, S2, 123) | [i] | ||
| 16 | No OA(2248, 284, S2, 124) | [i] | ||
| 17 | No OA(2249, 285, S2, 125) | [i] | ||
| 18 | No OA(2250, 286, S2, 126) | [i] | ||
| 19 | No OA(2251, 287, S2, 127) | [i] | ||
| 20 | No OA(2252, 288, S2, 128) | [i] | ||
| 21 | No OA(2253, 289, S2, 129) | [i] | ||
| 22 | No OA(2254, 290, S2, 130) | [i] | ||
| 23 | No OA(2255, 291, S2, 131) | [i] | ||
| 24 | No OOA(2233, 268, S2, 2, 109) | [i] | m-Reduction for OOAs | |
| 25 | No OOA(2234, 268, S2, 2, 110) | [i] | ||
| 26 | No OOA(2235, 268, S2, 2, 111) | [i] | ||
| 27 | No OOA(2236, 268, S2, 2, 112) | [i] | ||
| 28 | No OOA(2237, 268, S2, 2, 113) | [i] | ||
| 29 | No OOA(2238, 268, S2, 2, 114) | [i] | ||
| 30 | No OOA(2239, 268, S2, 2, 115) | [i] | ||
| 31 | No OOA(2240, 268, S2, 2, 116) | [i] | ||
| 32 | No OOA(2241, 268, S2, 2, 117) | [i] | ||
| 33 | No OOA(2242, 268, S2, 2, 118) | [i] | ||
| 34 | No OOA(2243, 268, S2, 2, 119) | [i] | ||
| 35 | No OOA(2244, 268, S2, 2, 120) | [i] | ||
| 36 | No OOA(2245, 268, S2, 2, 121) | [i] | ||
| 37 | No OOA(2246, 268, S2, 2, 122) | [i] | ||
| 38 | No OOA(2247, 268, S2, 2, 123) | [i] | ||
| 39 | No OOA(2248, 268, S2, 2, 124) | [i] | ||
| 40 | No OOA(2249, 268, S2, 2, 125) | [i] | ||
| 41 | No OOA(2250, 268, S2, 2, 126) | [i] | ||
| 42 | No OOA(2251, 268, S2, 2, 127) | [i] | ||
| 43 | No OOA(2252, 268, S2, 2, 128) | [i] | ||
| 44 | No OOA(2253, 268, S2, 2, 129) | [i] | ||
| 45 | No OOA(2254, 268, S2, 2, 130) | [i] | ||
| 46 | No OOA(2255, 268, S2, 2, 131) | [i] | ||
| 47 | No OOA(2232, 268, S2, 2, 108) | [i] | Depth Reduction | |
| 48 | No OOA(2232, 268, S2, 3, 108) | [i] | ||
| 49 | No OOA(2232, 268, S2, 4, 108) | [i] | ||
| 50 | No OOA(2232, 268, S2, 5, 108) | [i] | ||
| 51 | No OOA(2232, 268, S2, 6, 108) | [i] | ||
| 52 | No OOA(2232, 268, S2, 7, 108) | [i] | ||
| 53 | No OOA(2232, 268, S2, 8, 108) | [i] | ||
| 54 | No (124, 232, 268)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |