Information on Result #599498
There is no digital (50, 182, 283)-net over F4, because extracting embedded orthogonal array would yield linear OA(4182, 283, F4, 132) (dual of [283, 101, 133]-code), but
- residual code [i] would yield OA(450, 150, S4, 33), but
- the linear programming bound shows that M ≥ 5 240119 176987 495175 938332 339957 317207 114465 129158 080255 058824 396800 / 3 814088 610970 960406 001299 094550 500367 > 450 [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 (50, 183, 283)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (50, 184, 283)-net over F4 | [i] | ||
| 3 | No digital (50, 185, 283)-net over F4 | [i] | ||