Information on Result #1875837
There is no digital (3, m, 64)-net over F16 with m > ∞, because logical equivalence would yield (3, 64)-sequence in base 16, but
- net from sequence [i] would yield (3, m, 65)-net in base 16 for arbitrarily large m, but
- m-reduction [i] would yield (3, 61, 65)-net in base 16, but
- extracting embedded orthogonal array [i] would yield OA(1661, 65, S16, 58), but
- the linear programming bound shows that M ≥ 159214 122701 309768 707410 104386 945873 298246 228915 255775 554254 178010 880553 254912 / 5487 > 1661 [i]
- extracting embedded orthogonal array [i] would yield OA(1661, 65, S16, 58), but
- m-reduction [i] would yield (3, 61, 65)-net in base 16, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.