Information on Result #599521
There is no digital (53, 205, 246)-net over F4, because extracting embedded orthogonal array would yield linear OA(4205, 246, F4, 152) (dual of [246, 41, 153]-code), but
- residual code [i] would yield OA(453, 93, S4, 38), but
- the linear programming bound shows that M ≥ 75 732845 984145 428780 199922 279583 407868 241018 898271 306741 529817 383686 091619 434496 / 921595 659344 088994 644725 748885 291293 959320 238665 > 453 [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 (53, 206, 246)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (53, 207, 246)-net over F4 | [i] | ||
| 3 | No digital (53, 208, 246)-net over F4 | [i] | ||