Information on Result #3043257
There is no (30, 245, 73)-net in base 3, because 31 times m-reduction would yield (30, 214, 73)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3214, 73, S3, 3, 184), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 354 448149 457943 429626 642095 540246 086021 665939 487358 859705 747695 618620 066719 725201 849556 903898 898410 892351 / 185 > 3214 [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.