Information on Result #59571
There is no OA(437, 51, S4, 28), because the linear programming bound shows that M ≥ 12 654532 566584 978515 087572 598784 / 545 483939 > 437
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(437, 51, S4, 2, 28) | [i] | Depth Reduction | |
| 2 | No OOA(437, 51, S4, 3, 28) | [i] | ||
| 3 | No (9, 37, 51)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4149, 164, F4, 112) (dual of [164, 15, 113]-code) | [i] | Residual Code | |