Information on Result #1880317
There is no digital (11, m, 105)-net over F9 with unbounded m, because logical equivalence would yield (11, m, 105)-net in base 9 for arbitrarily large m, but
- m-reduction [i] would yield (11, 95, 105)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(995, 105, S9, 84), but
- the linear programming bound shows that M ≥ 1240 505866 046627 131068 555034 347769 450501 463301 708903 427699 923262 975474 963339 381628 644774 672768 499337 / 265 061875 > 995 [i]
- extracting embedded orthogonal array [i] would yield OA(995, 105, S9, 84), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.