Information on Result #1875185
There is no digital (2, m, 23)-net over F8 with m > ∞, because logical equivalence would yield (2, 23)-sequence in base 8, but
- net from sequence [i] would yield (2, m, 24)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (2, 27, 24)-net in base 8, but
- extracting embedded OOA [i] would yield OOA(827, 24, S8, 2, 25), but
- the linear programming bound for OOAs shows that M ≥ 1329 818401 576092 092176 793600 / 513 > 827 [i]
- extracting embedded OOA [i] would yield OOA(827, 24, S8, 2, 25), but
- m-reduction [i] would yield (2, 27, 24)-net in base 8, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.