Information on Result #60564
There is no OA(555, 66, S5, 44), because the linear programming bound shows that M ≥ 975608 482889 356309 897266 328334 808349 609375 / 3111 > 555
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(556, 67, S5, 45) | [i] | Truncation | |
| 2 | No OOA(556, 66, S5, 2, 45) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(555, 66, S5, 2, 44) | [i] | Depth Reduction | |
| 4 | No OOA(555, 66, S5, 3, 44) | [i] | ||
| 5 | No (11, 55, 66)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |