Information on Result #3048673
There is no (66, 243, 212)-net in base 3, because 36 times m-reduction would yield (66, 207, 212)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3207, 212, S3, 141), but
- the (dual) Plotkin bound shows that M ≥ 47052 721287 394587 764057 094854 672253 553918 218437 190874 778408 030747 195017 485692 977810 906266 281547 645147 / 71 > 3207 [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.