Information on Result #58229
There is no OA(2113, 128, S2, 56), because the linear programming bound shows that M ≥ 5948 959895 135390 989180 988498 284682 149888 / 569415 > 2113
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(2114, 129, S2, 57) | [i] | Truncation | |
| 2 | No OOA(2114, 128, S2, 2, 57) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(2113, 128, S2, 2, 56) | [i] | Depth Reduction | |
| 4 | No OOA(2113, 128, S2, 3, 56) | [i] | ||
| 5 | No OOA(2113, 128, S2, 4, 56) | [i] | ||
| 6 | No OOA(2113, 128, S2, 5, 56) | [i] | ||
| 7 | No OOA(2113, 128, S2, 6, 56) | [i] | ||
| 8 | No OOA(2113, 128, S2, 7, 56) | [i] | ||
| 9 | No OOA(2113, 128, S2, 8, 56) | [i] | ||
| 10 | No (57, 113, 128)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2225, 241, F2, 112) (dual of [241, 16, 113]-code) | [i] | Residual Code | |