Information on Result #58452
There is no OA(2223, 249, S2, 106), because the linear programming bound shows that M ≥ 125060 361585 465082 046951 669439 069378 009061 149491 060510 099746 675837 762518 646784 / 7177 430007 > 2223
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(2224, 250, S2, 107) | [i] | Truncation | |
| 2 | No OOA(2224, 249, S2, 2, 107) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2226, 249, S2, 2, 109) | [i] | ||
| 4 | No OOA(2227, 249, S2, 2, 110) | [i] | ||
| 5 | No OOA(2228, 249, S2, 2, 111) | [i] | ||
| 6 | No OOA(2229, 249, S2, 2, 112) | [i] | ||
| 7 | No OOA(2230, 249, S2, 2, 113) | [i] | ||
| 8 | No OOA(2231, 249, S2, 2, 114) | [i] | ||
| 9 | No OOA(2232, 249, S2, 2, 115) | [i] | ||
| 10 | No OOA(2233, 249, S2, 2, 116) | [i] | ||
| 11 | No OOA(2234, 249, S2, 2, 117) | [i] | ||
| 12 | No OOA(2235, 249, S2, 2, 118) | [i] | ||
| 13 | No OOA(2236, 249, S2, 2, 119) | [i] | ||
| 14 | No OOA(2237, 249, S2, 2, 120) | [i] | ||
| 15 | No OOA(2238, 249, S2, 2, 121) | [i] | ||
| 16 | No OOA(2239, 249, S2, 2, 122) | [i] | ||
| 17 | No OOA(2240, 249, S2, 2, 123) | [i] | ||
| 18 | No OOA(2223, 249, S2, 2, 106) | [i] | Depth Reduction | |
| 19 | No OOA(2223, 249, S2, 3, 106) | [i] | ||
| 20 | No OOA(2223, 249, S2, 4, 106) | [i] | ||
| 21 | No OOA(2223, 249, S2, 5, 106) | [i] | ||
| 22 | No OOA(2223, 249, S2, 6, 106) | [i] | ||
| 23 | No OOA(2223, 249, S2, 7, 106) | [i] | ||
| 24 | No OOA(2223, 249, S2, 8, 106) | [i] | ||
| 25 | No (117, 223, 249)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |