Information on Result #3149920
There is no digital (69, 240, 434)-net over F4, because 3 times m-reduction would yield digital (69, 237, 434)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4237, 434, F4, 168) (dual of [434, 197, 169]-code), but
- residual code [i] would yield OA(469, 265, S4, 42), but
- the linear programming bound shows that M ≥ 52348 985175 743312 195164 699043 560255 242722 252419 549522 172173 323504 377479 561128 758476 800000 / 141682 475264 470819 104457 406563 443902 424070 593403 > 469 [i]
- residual code [i] would yield OA(469, 265, S4, 42), but
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
None.