Information on Result #1877852
There is no digital (28, 28+k, 36)-net over F2 for arbitrarily large k, because logical equivalence would yield (28, m, 36)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (28, 209, 36)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2209, 36, S2, 6, 181), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 75693 209636 775477 939128 582397 638123 229205 849819 144673 714036 015104 / 91 > 2209 [i]
- extracting embedded OOA [i] would yield OOA(2209, 36, S2, 6, 181), 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.