Information on Result #599617
There is no digital (63, 247, 269)-net over F4, because extracting embedded orthogonal array would yield linear OA(4247, 269, F4, 184) (dual of [269, 22, 185]-code), but
- residual code [i] would yield OA(463, 84, S4, 46), but
- the linear programming bound shows that M ≥ 894450 329286 322020 798598 021001 283152 584338 810439 991296 / 9348 861618 951283 > 463 [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 (63, 248, 269)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (63, 249, 269)-net over F4 | [i] | ||
| 3 | No digital (63, 250, 269)-net over F4 | [i] | ||