Information on Result #59770
There is no OA(457, 75, S4, 42), because the linear programming bound shows that M ≥ 175541 891167 451460 543215 010075 896682 965259 780096 / 6 746458 181029 > 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, 75, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(457, 75, S4, 3, 42) | [i] | ||
| 3 | No (15, 57, 75)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4225, 244, F4, 168) (dual of [244, 19, 169]-code) | [i] | Residual Code | |