Information on Result #59611
There is no OA(441, 53, S4, 31), because the linear programming bound shows that M ≥ 1279 874020 176133 246331 057157 963776 / 218 103641 > 441
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 OOA(441, 53, S4, 2, 31) | [i] | Depth Reduction | |
| 2 | No OOA(441, 53, S4, 3, 31) | [i] | ||
| 3 | No (10, 41, 53)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4165, 178, F4, 124) (dual of [178, 13, 125]-code) | [i] | Residual Code | |