Information on Result #1869344
There is no (28, 28+k, 98)-net in base 4 for arbitrarily large k, because logical equivalence would yield (28, m, 98)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (28, 290, 98)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4290, 98, S4, 3, 262), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1171 356781 376623 073310 539939 549049 092006 382069 343339 273833 002633 655961 258104 534922 918618 475426 047061 070734 571873 612435 911168 064802 476773 730406 298590 562566 043253 049672 896239 108096 / 263 > 4290 [i]
- extracting embedded OOA [i] would yield OOA(4290, 98, S4, 3, 262), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.