Information on Result #3065773
There is no (30, 222, 108)-net in base 4, because 10 times m-reduction would yield (30, 212, 108)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4212, 108, S4, 2, 182), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2772 669694 120814 859578 414184 143083 703436 437075 375816 575170 479580 614621 307805 625623 039974 406104 139578 097391 210961 403571 828974 157824 / 61 > 4212 [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.