Information on Result #58424
There is no OA(2221, 252, S2, 104), because the linear programming bound shows that M ≥ 43402 152983 641643 064849 413563 996676 473160 458830 220874 716324 448351 940769 742848 / 9596 684825 > 2221
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(2222, 253, S2, 105) | [i] | Truncation | |
| 2 | No OOA(2222, 252, S2, 2, 105) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2221, 252, S2, 2, 104) | [i] | Depth Reduction | |
| 4 | No OOA(2221, 252, S2, 3, 104) | [i] | ||
| 5 | No OOA(2221, 252, S2, 4, 104) | [i] | ||
| 6 | No OOA(2221, 252, S2, 5, 104) | [i] | ||
| 7 | No OOA(2221, 252, S2, 6, 104) | [i] | ||
| 8 | No OOA(2221, 252, S2, 7, 104) | [i] | ||
| 9 | No OOA(2221, 252, S2, 8, 104) | [i] | ||
| 10 | No (117, 221, 252)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |