Information on Result #3148403
There is no digital (43, 166, 224)-net over F4, because 3 times m-reduction would yield digital (43, 163, 224)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4163, 224, F4, 120) (dual of [224, 61, 121]-code), but
- residual code [i] would yield OA(443, 103, S4, 30), but
- the linear programming bound shows that M ≥ 126192 248039 190038 466119 259112 020487 681472 723343 663318 526710 983775 014092 800000 / 1468 588736 152011 748631 330502 226638 946367 298107 382103 > 443 [i]
- residual code [i] would yield OA(443, 103, S4, 30), 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.