Information on Result #3149181
There is no digital (52, 211, 221)-net over F4, because 3 times m-reduction would yield digital (52, 208, 221)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4208, 221, F4, 156) (dual of [221, 13, 157]-code), but
- residual code [i] would yield OA(452, 64, S4, 39), but
- the linear programming bound shows that M ≥ 2 533840 866964 995882 722882 208659 406848 / 104975 > 452 [i]
- residual code [i] would yield OA(452, 64, S4, 39), 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.