Information on Result #57806
There is no OA(224, 40, S2, 12), because the linear programming bound shows that M ≥ 117037 858816 / 6615 > 224
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(225, 41, S2, 13) | [i] | Truncation | |
| 2 | No OOA(224, 40, S2, 2, 12) | [i] | Depth Reduction | |
| 3 | No OOA(224, 40, S2, 3, 12) | [i] | ||
| 4 | No OOA(224, 40, S2, 4, 12) | [i] | ||
| 5 | No OOA(224, 40, S2, 5, 12) | [i] | ||
| 6 | No OOA(224, 40, S2, 6, 12) | [i] | ||
| 7 | No OOA(224, 40, S2, 7, 12) | [i] | ||
| 8 | No OOA(224, 40, S2, 8, 12) | [i] | ||
| 9 | No (12, 24, 40)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | Linear OA(222, 35, F2, 10) (dual of [35, 13, 11]-code) | [i] | Construction Y1 | |