Information on Result #58041
There is no OA(272, 126, S2, 32), because the linear programming bound shows that M ≥ 163 005211 721460 055257 870637 096174 404209 999872 / 34370 163308 084940 061297 > 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, 127, S2, 33) | [i] | Truncation | |
| 2 | No OOA(273, 126, S2, 2, 33) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(272, 126, S2, 2, 32) | [i] | Depth Reduction | |
| 4 | No OOA(272, 126, S2, 3, 32) | [i] | ||
| 5 | No OOA(272, 126, S2, 4, 32) | [i] | ||
| 6 | No OOA(272, 126, S2, 5, 32) | [i] | ||
| 7 | No OOA(272, 126, S2, 6, 32) | [i] | ||
| 8 | No OOA(272, 126, S2, 7, 32) | [i] | ||
| 9 | No OOA(272, 126, S2, 8, 32) | [i] | ||
| 10 | No (40, 72, 126)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2136, 191, F2, 64) (dual of [191, 55, 65]-code) | [i] | Residual Code | |