Information on Result #599668
There is no digital (69, 245, 395)-net over F4, because extracting embedded orthogonal array would yield linear OA(4245, 395, F4, 176) (dual of [395, 150, 177]-code), but
- residual code [i] would yield OA(469, 218, S4, 44), but
- the linear programming bound shows that M ≥ 109109 147274 768315 990931 948474 366203 066087 657712 317992 394776 862369 613323 594430 467474 878725 704856 371200 / 292745 629447 360691 756384 897898 834188 795527 737754 030331 320673 > 469 [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 (69, 246, 395)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (69, 247, 395)-net over F4 | [i] | ||
| 3 | No digital (69, 248, 395)-net over F4 | [i] | ||