Information on Result #59757
There is no OA(457, 92, S4, 41), because the linear programming bound shows that M ≥ 6 100582 649939 373494 201236 613796 043446 468174 965411 145692 768274 219008 / 286 854938 046996 694993 355683 683465 > 457
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(457, 92, S4, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(457, 92, S4, 3, 41) | [i] | ||
| 3 | No (16, 57, 92)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4221, 257, F4, 164) (dual of [257, 36, 165]-code) | [i] | Residual Code | |