Information on Result #58217
There is no OA(2112, 133, S2, 54), because the linear programming bound shows that M ≥ 665 839379 951072 155772 236727 273868 230656 / 115995 > 2112
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(2113, 134, S2, 55) | [i] | Truncation | |
| 2 | No OOA(2113, 133, S2, 2, 55) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2112, 133, S2, 2, 54) | [i] | Depth Reduction | |
| 4 | No OOA(2112, 133, S2, 3, 54) | [i] | ||
| 5 | No OOA(2112, 133, S2, 4, 54) | [i] | ||
| 6 | No OOA(2112, 133, S2, 5, 54) | [i] | ||
| 7 | No OOA(2112, 133, S2, 6, 54) | [i] | ||
| 8 | No OOA(2112, 133, S2, 7, 54) | [i] | ||
| 9 | No OOA(2112, 133, S2, 8, 54) | [i] | ||
| 10 | No (58, 112, 133)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |