Information on Result #599674
There is no digital (70, 246, 415)-net over F4, because extracting embedded orthogonal array would yield linear OA(4246, 415, F4, 176) (dual of [415, 169, 177]-code), but
- residual code [i] would yield OA(470, 238, S4, 44), but
- the linear programming bound shows that M ≥ 120510 936963 900302 789124 723066 073447 088671 101178 269184 854788 285280 658913 691603 030508 274974 720000 / 77708 615139 851578 435610 585674 497674 313378 544338 862201 > 470 [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 (70, 247, 415)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (70, 248, 415)-net over F4 | [i] | ||
| 3 | No digital (70, 249, 415)-net over F4 | [i] | ||