Information on Result #2026502
There is no OA(2176, 299, S2, 74), because adding a parity check bit would yield OA(2177, 300, S2, 75), but
- the linear programming bound shows that M ≥ 3 635392 612138 849947 593748 250106 276323 244402 593086 652587 881083 736015 264809 747844 602393 772282 952895 309564 287520 927482 512784 061552 651238 260008 282439 847339 186197 936622 918149 603328 / 16 596489 288891 597431 806767 668273 879726 323125 162254 820959 724017 639569 206174 043207 555202 380507 742012 504078 557367 932811 307081 > 2177 [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(2176, 299, S2, 75) | [i] | Strength Reduction | |
| 2 | No OA(2175, 298, S2, 74) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2174, 297, S2, 74) | [i] | ||
| 4 | No OA(2173, 296, S2, 74) | [i] | ||
| 5 | No OA(2172, 295, S2, 74) | [i] | ||
| 6 | No OA(2171, 294, S2, 74) | [i] | ||
| 7 | No OA(2170, 293, S2, 74) | [i] | ||
| 8 | No OA(2169, 292, S2, 74) | [i] | ||
| 9 | No OA(2168, 291, S2, 74) | [i] | ||
| 10 | No OA(2167, 290, S2, 74) | [i] | ||
| 11 | No OA(2166, 289, S2, 74) | [i] | ||
| 12 | No OA(2165, 288, S2, 74) | [i] | ||
| 13 | No OA(2164, 287, S2, 74) | [i] | ||
| 14 | No OA(2163, 286, S2, 74) | [i] | ||
| 15 | No OA(2162, 285, S2, 74) | [i] | ||
| 16 | No OA(2161, 284, S2, 74) | [i] | ||
| 17 | No OA(2160, 283, S2, 74) | [i] | ||
| 18 | No OA(2159, 282, S2, 74) | [i] | ||
| 19 | No OA(2158, 281, S2, 74) | [i] | ||
| 20 | No OA(2157, 280, S2, 74) | [i] | ||
| 21 | No OA(2156, 279, S2, 74) | [i] | ||
| 22 | No OA(2155, 278, S2, 74) | [i] | ||
| 23 | No OA(2154, 277, S2, 74) | [i] | ||
| 24 | No OOA(2177, 299, S2, 2, 75) | [i] | m-Reduction for OOAs | |
| 25 | No OOA(2176, 299, S2, 2, 74) | [i] | Depth Reduction | |
| 26 | No OOA(2176, 299, S2, 3, 74) | [i] | ||
| 27 | No OOA(2176, 299, S2, 4, 74) | [i] | ||
| 28 | No OOA(2176, 299, S2, 5, 74) | [i] | ||
| 29 | No OOA(2176, 299, S2, 6, 74) | [i] | ||
| 30 | No OOA(2176, 299, S2, 7, 74) | [i] | ||
| 31 | No OOA(2176, 299, S2, 8, 74) | [i] | ||
| 32 | No (102, 176, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |