Information on Result #59726
There is no OA(452, 64, S4, 39), because the linear programming bound shows that M ≥ 2 533840 866964 995882 722882 208659 406848 / 104975 > 452
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(453, 65, S4, 40) | [i] | Truncation | |
| 2 | No OOA(453, 64, S4, 2, 40) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(452, 64, S4, 2, 39) | [i] | Depth Reduction | |
| 4 | No OOA(452, 64, S4, 3, 39) | [i] | ||
| 5 | No (13, 52, 64)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(4208, 221, F4, 156) (dual of [221, 13, 157]-code) | [i] | Residual Code | |