Information on Result #1877873
There is no digital (38, m, 47)-net over F2 with unbounded m, because logical equivalence would yield (38, m, 47)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (38, 228, 47)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2228, 47, S2, 5, 190), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 84546 392748 184406 396075 759312 893561 792526 084909 087235 300740 921741 541376 / 191 > 2228 [i]
- extracting embedded OOA [i] would yield OOA(2228, 47, S2, 5, 190), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.