Information on Result #3068248
There is no (45, 193, 195)-net in base 4, because 2 times m-reduction would yield (45, 191, 195)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4191, 195, S4, 146), but
- the (dual) Plotkin bound shows that M ≥ 630 432099 142311 667396 464641 602297 820881 275828 327447 146687 172694 467931 548343 955369 782628 260078 158650 252906 047844 909056 / 49 > 4191 [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.