Information on Result #3047363
There is no (56, 178, 182)-net in base 3, because 1 times m-reduction would yield (56, 177, 182)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3177, 182, S3, 121), but
- the (dual) Plotkin bound shows that M ≥ 228 532044 137599 177017 869183 161846 685251 274404 207185 590172 004697 234871 412029 099114 058803 / 61 > 3177 [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.