Information on Result #3065577
There is no (29, 212, 105)-net in base 4, because 6 times m-reduction would yield (29, 206, 105)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4206, 105, S4, 2, 177), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1 099997 132066 973668 655987 072566 531010 274465 392452 563948 889655 595336 611236 617222 079453 114846 171686 233986 391776 809638 868218 281984 / 89 > 4206 [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.