Information on Result #2026511
There is no OA(2184, 299, S2, 78), because adding a parity check bit would yield OA(2185, 300, S2, 79), but
- the linear programming bound shows that M ≥ 141567 108182 629161 298008 913795 645564 742059 458353 673336 771152 211645 355218 507110 019263 646714 332578 792395 869231 595182 307914 419827 387939 160064 / 1898 352509 614315 308497 056354 652811 989510 912931 797163 098992 061786 535651 328793 485695 > 2185 [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(2184, 299, S2, 79) | [i] | Strength Reduction | |
| 2 | No OA(2183, 298, S2, 78) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2182, 297, S2, 78) | [i] | ||
| 4 | No OA(2181, 296, S2, 78) | [i] | ||
| 5 | No OA(2180, 295, S2, 78) | [i] | ||
| 6 | No OA(2179, 294, S2, 78) | [i] | ||
| 7 | No OA(2178, 293, S2, 78) | [i] | ||
| 8 | No OA(2177, 292, S2, 78) | [i] | ||
| 9 | No OA(2176, 291, S2, 78) | [i] | ||
| 10 | No OA(2175, 290, S2, 78) | [i] | ||
| 11 | No OA(2174, 289, S2, 78) | [i] | ||
| 12 | No OA(2173, 288, S2, 78) | [i] | ||
| 13 | No OA(2172, 287, S2, 78) | [i] | ||
| 14 | No OA(2171, 286, S2, 78) | [i] | ||
| 15 | No OA(2170, 285, S2, 78) | [i] | ||
| 16 | No OA(2169, 284, S2, 78) | [i] | ||
| 17 | No OA(2168, 283, S2, 78) | [i] | ||
| 18 | No OA(2167, 282, S2, 78) | [i] | ||
| 19 | No OA(2166, 281, S2, 78) | [i] | ||
| 20 | No OA(2165, 280, S2, 78) | [i] | ||
| 21 | No OA(2164, 279, S2, 78) | [i] | ||
| 22 | No OA(2163, 278, S2, 78) | [i] | ||
| 23 | No OA(2162, 277, S2, 78) | [i] | ||
| 24 | No OA(2161, 276, S2, 78) | [i] | ||
| 25 | No OA(2160, 275, S2, 78) | [i] | ||
| 26 | No OA(2159, 274, S2, 78) | [i] | ||
| 27 | No OA(2158, 273, S2, 78) | [i] | ||
| 28 | No OOA(2185, 299, S2, 2, 79) | [i] | m-Reduction for OOAs | |
| 29 | No OOA(2184, 299, S2, 2, 78) | [i] | Depth Reduction | |
| 30 | No OOA(2184, 299, S2, 3, 78) | [i] | ||
| 31 | No OOA(2184, 299, S2, 4, 78) | [i] | ||
| 32 | No OOA(2184, 299, S2, 5, 78) | [i] | ||
| 33 | No OOA(2184, 299, S2, 6, 78) | [i] | ||
| 34 | No OOA(2184, 299, S2, 7, 78) | [i] | ||
| 35 | No OOA(2184, 299, S2, 8, 78) | [i] | ||
| 36 | No (106, 184, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |