Information on Result #599545
There is no digital (56, 216, 259)-net over F4, because extracting embedded orthogonal array would yield linear OA(4216, 259, F4, 160) (dual of [259, 43, 161]-code), but
- residual code [i] would yield OA(456, 98, S4, 40), but
- the linear programming bound shows that M ≥ 108 858270 389765 832134 899494 245555 240896 445146 215984 684712 894959 792949 029119 197184 / 19965 002432 218887 804054 871233 298540 608350 321175 > 456 [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 (56, 217, 259)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 218, 259)-net over F4 | [i] | ||
| 3 | No digital (56, 219, 259)-net over F4 | [i] | ||