Information on Result #59711
There is no OA(450, 59, S4, 38), because the linear programming bound shows that M ≥ 12 890525 988420 026441 280523 449330 040832 / 8 204625 > 450
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(451, 60, S4, 39) | [i] | Truncation | |
| 2 | No OOA(451, 59, S4, 2, 39) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(450, 59, S4, 2, 38) | [i] | Depth Reduction | |
| 4 | No OOA(450, 59, S4, 3, 38) | [i] | ||
| 5 | No (12, 50, 59)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(4202, 212, F4, 152) (dual of [212, 10, 153]-code) | [i] | Residual Code | |