Information on Result #3047796
There is no (59, 222, 191)-net in base 3, because 36 times m-reduction would yield (59, 186, 191)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3186, 191, S3, 127), but
- the (dual) Plotkin bound shows that M ≥ 4 498196 224760 364601 242719 132174 628305 800834 098010 033971 355568 455673 974002 968757 862019 419449 / 64 > 3186 [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.