Information on Result #3048282
There is no (63, 216, 203)-net in base 3, because 18 times m-reduction would yield (63, 198, 203)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3198, 203, S3, 135), but
- the (dual) Plotkin bound shows that M ≥ 2 390525 899882 872924 049031 898322 016641 463101 073880 550463 771174 655651 832418 111719 646949 462291 396009 / 68 > 3198 [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.