Information on Result #58089
There is no OA(282, 116, S2, 38), because the linear programming bound shows that M ≥ 1 062617 333342 845814 746138 360785 403904 / 188306 971237 > 282
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(283, 117, S2, 39) | [i] | Truncation | |
| 2 | No OOA(283, 116, S2, 2, 39) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(282, 116, S2, 2, 38) | [i] | Depth Reduction | |
| 4 | No OOA(282, 116, S2, 3, 38) | [i] | ||
| 5 | No OOA(282, 116, S2, 4, 38) | [i] | ||
| 6 | No OOA(282, 116, S2, 5, 38) | [i] | ||
| 7 | No OOA(282, 116, S2, 6, 38) | [i] | ||
| 8 | No OOA(282, 116, S2, 7, 38) | [i] | ||
| 9 | No OOA(282, 116, S2, 8, 38) | [i] | ||
| 10 | No (44, 82, 116)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2158, 193, F2, 76) (dual of [193, 35, 77]-code) | [i] | Residual Code | |