Information on Result #1874113
There is no digital (29, m, 100)-net over F4 with m > ∞, because logical equivalence would yield (29, 100)-sequence in base 4, but
- net from sequence [i] would yield (29, m, 101)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (29, 299, 101)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4299, 101, S4, 3, 270), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 302 914636 528312 485971 405774 049454 764023 908574 953697 893699 682985 067417 655233 142294 687178 614573 138576 983038 445722 624957 610314 846028 505059 597475 741862 890319 349155 466271 648310 195229 032448 / 271 > 4299 [i]
- extracting embedded OOA [i] would yield OOA(4299, 101, S4, 3, 270), but
- m-reduction [i] would yield (29, 299, 101)-net in base 4, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.