Information on Result #3069234
There is no (51, 221, 219)-net in base 4, because 6 times m-reduction would yield (51, 215, 219)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4215, 219, S4, 164), but
- the (dual) Plotkin bound shows that M ≥ 177450 860423 732151 013018 507785 157357 019931 972824 052260 810910 693159 335763 699560 039874 558361 990664 932998 233037 501529 828597 054346 100736 / 55 > 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.