Information on Result #1877813
There is no digital (8, m, 15)-net over F2 with unbounded m, because logical equivalence would yield (8, m, 15)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (8, 40, 15)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(240, 15, S2, 3, 32), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 13 194139 533312 / 11 > 240 [i]
- extracting embedded OOA [i] would yield OOA(240, 15, S2, 3, 32), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.