Information on Result #3148296
There is no digital (42, 163, 209)-net over F4, because 1 times m-reduction would yield digital (42, 162, 209)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4162, 209, F4, 120) (dual of [209, 47, 121]-code), but
- residual code [i] would yield OA(442, 88, S4, 30), but
- the linear programming bound shows that M ≥ 89 605050 492137 134852 017163 586838 439030 395196 856884 186345 777644 655144 707653 985466 546419 715121 697993 523200 / 4 627392 744873 205288 863270 778823 516250 097275 954094 267550 824480 805099 989747 440773 > 442 [i]
- residual code [i] would yield OA(442, 88, 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.