Information on Result #58066
There is no OA(271, 82, S2, 36), because the linear programming bound shows that M ≥ 1 341152 081134 979240 689664 / 437 > 271
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(272, 83, S2, 37) | [i] | Truncation | |
| 2 | No OOA(272, 82, S2, 2, 37) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(274, 82, S2, 2, 39) | [i] | ||
| 4 | No OOA(271, 82, S2, 2, 36) | [i] | Depth Reduction | |
| 5 | No OOA(271, 82, S2, 3, 36) | [i] | ||
| 6 | No OOA(271, 82, S2, 4, 36) | [i] | ||
| 7 | No OOA(271, 82, S2, 5, 36) | [i] | ||
| 8 | No OOA(271, 82, S2, 6, 36) | [i] | ||
| 9 | No OOA(271, 82, S2, 7, 36) | [i] | ||
| 10 | No OOA(271, 82, S2, 8, 36) | [i] | ||
| 11 | No (35, 71, 82)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(2143, 155, F2, 72) (dual of [155, 12, 73]-code) | [i] | Residual Code | |