Information on Result #2026506
There is no OA(2180, 299, S2, 76), because adding a parity check bit would yield OA(2181, 300, S2, 77), but
- the linear programming bound shows that M ≥ 1 701534 483732 309366 379627 599831 667953 620265 452247 654243 213636 197092 258809 472732 009400 892048 846161 501132 017233 770139 644607 995756 675072 / 416986 183620 888257 525186 905206 719820 461288 987101 265210 382835 230557 021727 403215 > 2181 [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(2180, 299, S2, 77) | [i] | Strength Reduction | |
| 2 | No OA(2179, 298, S2, 76) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2178, 297, S2, 76) | [i] | ||
| 4 | No OA(2177, 296, S2, 76) | [i] | ||
| 5 | No OA(2176, 295, S2, 76) | [i] | ||
| 6 | No OA(2175, 294, S2, 76) | [i] | ||
| 7 | No OA(2174, 293, S2, 76) | [i] | ||
| 8 | No OA(2173, 292, S2, 76) | [i] | ||
| 9 | No OA(2172, 291, S2, 76) | [i] | ||
| 10 | No OA(2171, 290, S2, 76) | [i] | ||
| 11 | No OA(2170, 289, S2, 76) | [i] | ||
| 12 | No OA(2169, 288, S2, 76) | [i] | ||
| 13 | No OA(2168, 287, S2, 76) | [i] | ||
| 14 | No OA(2167, 286, S2, 76) | [i] | ||
| 15 | No OA(2166, 285, S2, 76) | [i] | ||
| 16 | No OA(2165, 284, S2, 76) | [i] | ||
| 17 | No OA(2164, 283, S2, 76) | [i] | ||
| 18 | No OA(2163, 282, S2, 76) | [i] | ||
| 19 | No OA(2162, 281, S2, 76) | [i] | ||
| 20 | No OA(2161, 280, S2, 76) | [i] | ||
| 21 | No OA(2160, 279, S2, 76) | [i] | ||
| 22 | No OA(2159, 278, S2, 76) | [i] | ||
| 23 | No OA(2158, 277, S2, 76) | [i] | ||
| 24 | No OA(2157, 276, S2, 76) | [i] | ||
| 25 | No OA(2156, 275, S2, 76) | [i] | ||
| 26 | No OOA(2181, 299, S2, 2, 77) | [i] | m-Reduction for OOAs | |
| 27 | No OOA(2180, 299, S2, 2, 76) | [i] | Depth Reduction | |
| 28 | No OOA(2180, 299, S2, 3, 76) | [i] | ||
| 29 | No OOA(2180, 299, S2, 4, 76) | [i] | ||
| 30 | No OOA(2180, 299, S2, 5, 76) | [i] | ||
| 31 | No OOA(2180, 299, S2, 6, 76) | [i] | ||
| 32 | No OOA(2180, 299, S2, 7, 76) | [i] | ||
| 33 | No OOA(2180, 299, S2, 8, 76) | [i] | ||
| 34 | No (104, 180, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |