Information on Result #3149550
There is no digital (58, 233, 246)-net over F4, because 3 times m-reduction would yield digital (58, 230, 246)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4230, 246, F4, 172) (dual of [246, 16, 173]-code), but
- residual code [i] would yield OA(458, 73, S4, 43), but
- the linear programming bound shows that M ≥ 2189 401164 029144 651258 105721 344079 901877 075968 / 23088 690625 > 458 [i]
- residual code [i] would yield OA(458, 73, S4, 43), 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.