Information on Result #58088
There is no OA(281, 110, S2, 38), because the linear programming bound shows that M ≥ 4779 299403 304819 194040 811108 958208 / 1826 331675 > 281
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(282, 111, S2, 39) | [i] | Truncation | |
| 2 | No OOA(282, 110, S2, 2, 39) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(281, 110, S2, 2, 38) | [i] | Depth Reduction | |
| 4 | No OOA(281, 110, S2, 3, 38) | [i] | ||
| 5 | No OOA(281, 110, S2, 4, 38) | [i] | ||
| 6 | No OOA(281, 110, S2, 5, 38) | [i] | ||
| 7 | No OOA(281, 110, S2, 6, 38) | [i] | ||
| 8 | No OOA(281, 110, S2, 7, 38) | [i] | ||
| 9 | No OOA(281, 110, S2, 8, 38) | [i] | ||
| 10 | No (43, 81, 110)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2157, 187, F2, 76) (dual of [187, 30, 77]-code) | [i] | Residual Code | |