Information on Result #3149938
There is no digital (70, 241, 454)-net over F4, because 3 times m-reduction would yield digital (70, 238, 454)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4238, 454, F4, 168) (dual of [454, 216, 169]-code), but
- residual code [i] would yield OA(470, 285, S4, 42), but
- the linear programming bound shows that M ≥ 2 520198 658998 621179 007148 715142 691743 667539 102383 827900 254205 426285 806015 463738 326023 123475 890176 / 1 791905 782922 287300 464200 415513 167226 158849 588749 853743 > 470 [i]
- residual code [i] would yield OA(470, 285, 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.