Information on Result #3070198
There is no (58, 257, 247)-net in base 4, because 14 times m-reduction would yield (58, 243, 247)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4243, 247, S4, 185), but
- the (dual) Plotkin bound shows that M ≥ 6393 341031 047152 089869 511126 616404 594173 128996 177860 916959 553453 312761 321102 879990 006386 899074 031556 935325 554936 640763 689877 454191 182408 307282 280448 / 31 > 4243 [i]
Mode: Bound.
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.