Information on Result #58067
There is no OA(272, 86, S2, 36), because the linear programming bound shows that M ≥ 68 455424 535678 377017 737216 / 13547 > 272
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(273, 87, S2, 37) | [i] | Truncation | |
| 2 | No OOA(273, 86, S2, 2, 37) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(272, 86, S2, 2, 36) | [i] | Depth Reduction | |
| 4 | No OOA(272, 86, S2, 3, 36) | [i] | ||
| 5 | No OOA(272, 86, S2, 4, 36) | [i] | ||
| 6 | No OOA(272, 86, S2, 5, 36) | [i] | ||
| 7 | No OOA(272, 86, S2, 6, 36) | [i] | ||
| 8 | No OOA(272, 86, S2, 7, 36) | [i] | ||
| 9 | No OOA(272, 86, S2, 8, 36) | [i] | ||
| 10 | No (36, 72, 86)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2144, 159, F2, 72) (dual of [159, 15, 73]-code) | [i] | Residual Code | |