Information on Result #3016934
There is no (20, 100, 30)-net in base 2, because 16 times m-reduction would yield (20, 84, 30)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(284, 30, S2, 3, 64), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 309 485009 821345 068724 781056 / 13 > 284 [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.