Information on Result #1864569
There is no (23, m, 81)-net in base 4 with m > ∞, because logical equivalence would yield (23, 81)-sequence in base 4, but
- net from sequence [i] would yield (23, m, 82)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (23, 242, 82)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4242, 82, S4, 3, 219), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2896 982654 693240 790722 122229 248058 331734 699076 393093 227997 297658 532344 973624 742495 471644 063642 920549 236319 392080 665346 046975 721430 379528 764237 283328 / 55 > 4242 [i]
- extracting embedded OOA [i] would yield OOA(4242, 82, S4, 3, 219), but
- m-reduction [i] would yield (23, 242, 82)-net in base 4, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.