Information on Result #57993
There is no OA(258, 78, S2, 28), because the linear programming bound shows that M ≥ 6382 573449 503504 859136 / 19305 > 258
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(259, 79, S2, 29) | [i] | Truncation | |
| 2 | No OOA(259, 78, S2, 2, 29) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(258, 78, S2, 2, 28) | [i] | Depth Reduction | |
| 4 | No OOA(258, 78, S2, 3, 28) | [i] | ||
| 5 | No OOA(258, 78, S2, 4, 28) | [i] | ||
| 6 | No OOA(258, 78, S2, 5, 28) | [i] | ||
| 7 | No OOA(258, 78, S2, 6, 28) | [i] | ||
| 8 | No OOA(258, 78, S2, 7, 28) | [i] | ||
| 9 | No OOA(258, 78, S2, 8, 28) | [i] | ||
| 10 | No (30, 58, 78)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |