Information on Result #1880313
There is no digital (9, m, 90)-net over F9 with unbounded m, because logical equivalence would yield (9, m, 90)-net in base 9 for arbitrarily large m, but
- m-reduction [i] would yield (9, 80, 90)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(980, 90, S9, 71), but
- the linear programming bound shows that M ≥ 825617 125614 748653 438025 314237 742758 149006 797066 212440 636337 770986 951542 029890 113291 / 30 000971 > 980 [i]
- extracting embedded orthogonal array [i] would yield OA(980, 90, S9, 71), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.