Information on Result #1865093
There is no (24, m, 110)-net in base 5 with m > ∞, because logical equivalence would yield (24, 110)-sequence in base 5, but
- net from sequence [i] would yield (24, m, 111)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (24, 329, 111)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(5329, 111, S5, 3, 305), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 5029 144521 642009 921749 447612 543500 221588 403977 220314 109346 553710 201583 597989 648060 971971 296184 756930 456405 439154 845724 221770 381994 049242 504954 586091 004181 464648 261676 454775 148437 205694 692988 915128 761817 641134 257428 348064 422607 421875 / 51 > 5329 [i]
- extracting embedded OOA [i] would yield OOA(5329, 111, S5, 3, 305), but
- m-reduction [i] would yield (24, 329, 111)-net in base 5, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.