Information on Result #1880322
There is no digital (14, 14+k, 128)-net over F9 for arbitrarily large k, because logical equivalence would yield (14, m, 128)-net in base 9 for arbitrarily large m, but
- m-reduction [i] would yield (14, 115, 128)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(9115, 128, S9, 101), but
- the linear programming bound shows that M ≥ 443 166910 356198 778018 116730 424202 752086 605368 053990 969284 924273 837502 116929 265381 334877 312358 520249 430979 777899 498996 052429 / 7 631616 168397 > 9115 [i]
- extracting embedded orthogonal array [i] would yield OA(9115, 128, S9, 101), 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.