Information on Result #3046815
There is no (52, 179, 170)-net in base 3, because 14 times m-reduction would yield (52, 165, 170)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3165, 170, S3, 113), but
- the (dual) Plotkin bound shows that M ≥ 143 341119 796678 074027 577337 316118 932770 382415 738332 565090 012937 927177 499182 473761 / 19 > 3165 [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.