Information on Result #59771
There is no OA(458, 88, S4, 42), because the linear programming bound shows that M ≥ 158 237175 107336 529531 271038 987459 138072 539269 830656 314178 535424 / 1500 577564 280935 407980 323611 > 458
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(458, 88, S4, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(458, 88, S4, 3, 42) | [i] | ||
| 3 | No (16, 58, 88)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4226, 257, F4, 168) (dual of [257, 31, 169]-code) | [i] | Residual Code | |