Information on Result #599581
There is no digital (60, 216, 337)-net over F4, because extracting embedded orthogonal array would yield linear OA(4216, 337, F4, 156) (dual of [337, 121, 157]-code), but
- residual code [i] would yield OA(460, 180, S4, 39), but
- the linear programming bound shows that M ≥ 64 592000 643692 089079 054839 691926 765927 402602 779909 340826 367902 235627 537241 992340 655885 516800 / 46 756581 550576 177840 289976 743881 661381 961798 582533 083517 > 460 [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 (60, 217, 337)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 218, 337)-net over F4 | [i] | ||
| 3 | No digital (60, 219, 337)-net over F4 | [i] | ||