Information on Result #1881506
There is no digital (2, 2+k, 91)-net over F32 for arbitrarily large k, because logical equivalence would yield (2, m, 91)-net in base 32 for arbitrarily large m, but
- m-reduction [i] would yield (2, 87, 91)-net in base 32, but
- extracting embedded orthogonal array [i] would yield OA(3287, 91, S32, 85), but
- the linear programming bound shows that M ≥ 3218 248804 644806 290772 103657 191613 826913 486259 137011 802066 676331 137713 410455 220883 164990 453062 699224 855954 368127 744971 436177 620882 948096 / 34443 > 3287 [i]
- extracting embedded orthogonal array [i] would yield OA(3287, 91, S32, 85), but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.