Information on Result #58125
There is no OA(292, 132, S2, 42), because the linear programming bound shows that M ≥ 160 065156 181904 731162 621032 564883 718144 / 27991 938975 > 292
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(293, 133, S2, 43) | [i] | Truncation | |
| 2 | No OOA(293, 132, S2, 2, 43) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(292, 132, S2, 2, 42) | [i] | Depth Reduction | |
| 4 | No OOA(292, 132, S2, 3, 42) | [i] | ||
| 5 | No OOA(292, 132, S2, 4, 42) | [i] | ||
| 6 | No OOA(292, 132, S2, 5, 42) | [i] | ||
| 7 | No OOA(292, 132, S2, 6, 42) | [i] | ||
| 8 | No OOA(292, 132, S2, 7, 42) | [i] | ||
| 9 | No OOA(292, 132, S2, 8, 42) | [i] | ||
| 10 | No (50, 92, 132)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2176, 217, F2, 84) (dual of [217, 41, 85]-code) | [i] | Residual Code | |