Information on Result #1877855
There is no digital (29, m, 38)-net over F2 with unbounded m, because logical equivalence would yield (29, m, 38)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (29, 182, 38)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2182, 38, S2, 5, 153), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 637 518145 000209 765077 072363 294528 620385 395474 828378 505216 / 77 > 2182 [i]
- extracting embedded OOA [i] would yield OOA(2182, 38, S2, 5, 153), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.