Information on Result #3063881
There is no (20, 242, 73)-net in base 4, because 27 times m-reduction would yield (20, 215, 73)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4215, 73, S4, 3, 195), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 169132 851341 369706 434283 265232 728105 909622 661597 924811 085399 254417 491899 776143 163005 438438 772352 514263 940863 868645 617881 567423 627264 / 49 > 4215 [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.