Information on Result #3041531
There is no (21, 214, 53)-net in base 3, because 7 times m-reduction would yield (21, 207, 53)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3207, 53, S3, 4, 186), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 165555 871196 388364 355015 704118 291262 504527 064871 597522 368472 700777 167654 116327 144149 485010 990630 603295 / 187 > 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.