Information on Result #1880610
There is no digital (7, 7+k, 120)-net over F16 for arbitrarily large k, because logical equivalence would yield (7, m, 120)-net in base 16 for arbitrarily large m, but
- m-reduction [i] would yield (7, 111, 120)-net in base 16, but
- extracting embedded orthogonal array [i] would yield OA(16111, 120, S16, 104), but
- the linear programming bound shows that M ≥ 92086 954283 537596 660104 192126 770459 664696 363604 028357 116797 528075 544556 954927 352946 662893 970276 794850 999821 883009 523266 007059 187150 407449 182208 / 1974 452051 > 16111 [i]
- extracting embedded orthogonal array [i] would yield OA(16111, 120, S16, 104), 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.