Information on Result #3069849
There is no (55, 253, 235)-net in base 4, because 22 times m-reduction would yield (55, 231, 235)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4231, 235, S4, 176), but
- the (dual) Plotkin bound shows that M ≥ 762 145642 166990 290864 647761 179972 242614 403843 424065 222377 723867 096038 022172 794340 849684 107193 235344 521442 121855 812163 792833 978437 326241 529856 / 59 > 4231 [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.