Information on Result #59732
There is no OA(458, 149, S4, 39), because the linear programming bound shows that M ≥ 687 429911 202260 642762 810713 800269 676548 725551 961062 930193 746529 711584 285763 934617 600000 / 7739 058251 757365 326970 583055 442734 658951 141232 199899 > 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, 149, S4, 2, 39) | [i] | Depth Reduction | |
| 2 | No OOA(458, 149, S4, 3, 39) | [i] | ||
| 3 | No (19, 58, 149)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4214, 306, F4, 156) (dual of [306, 92, 157]-code) | [i] | Residual Code | |