Information on Result #3149759
There is no digital (63, 228, 350)-net over F4, because 1 times m-reduction would yield digital (63, 227, 350)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4227, 350, F4, 164) (dual of [350, 123, 165]-code), but
- residual code [i] would yield OA(463, 185, S4, 41), but
- the linear programming bound shows that M ≥ 61 899957 150953 106035 135074 637879 046641 791483 715273 894502 688876 097802 046438 481549 501189 324800 / 720746 857989 042001 933213 860469 455977 050620 069897 655507 > 463 [i]
- residual code [i] would yield OA(463, 185, S4, 41), 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.