Information on Result #599562
There is no digital (58, 214, 306)-net over F4, because extracting embedded orthogonal array would yield linear OA(4214, 306, F4, 156) (dual of [306, 92, 157]-code), but
- residual code [i] would yield OA(458, 149, S4, 39), but
- 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 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (58, 215, 306)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (58, 216, 306)-net over F4 | [i] | ||
| 3 | No digital (58, 217, 306)-net over F4 | [i] | ||