Information on Result #60215
There is no OA(56, 44, S5, 4), because the linear programming bound shows that M ≥ 439375 / 27 > 56
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(57, 45, S5, 5) | [i] | Truncation | |
| 2 | No OOA(57, 44, S5, 2, 5) | [i] | m-Reduction for OOAs | |
| 3 | No (2, 6, 44)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(526, 65, F5, 20) (dual of [65, 39, 21]-code) | [i] | Residual Code | |