Information on Result #599499
There is no digital (50, 186, 265)-net over F4, because extracting embedded orthogonal array would yield linear OA(4186, 265, F4, 136) (dual of [265, 79, 137]-code), but
- residual code [i] would yield OA(450, 128, S4, 34), but
- the linear programming bound shows that M ≥ 259 179668 828085 226279 928489 912831 484693 129044 766852 890167 105874 843246 416090 051379 200000 / 195 946350 820096 305299 454040 471197 976323 170907 400036 668719 > 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, 187, 265)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (50, 188, 265)-net over F4 | [i] | ||
| 3 | No digital (50, 189, 265)-net over F4 | [i] | ||