Information on Result #3043358
There is no (31, 164, 80)-net in base 3, because 9 times m-reduction would yield (31, 155, 80)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3155, 80, S3, 2, 124), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2427 494450 315468 069358 961833 665581 682507 450011 656972 431201 424883 184770 261689 / 25 > 3155 [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.