Information on Result #3065986
There is no (31, 252, 112)-net in base 4, because 32 times m-reduction would yield (31, 220, 112)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4220, 112, S4, 2, 189), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 363 419362 147803 445274 661903 944002 267176 820680 343659 030140 745099 590319 644056 698961 663095 525356 881782 780381 260803 133088 966767 300814 307328 / 95 > 4220 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.