Information on Result #3065203
There is no (27, 212, 99)-net in base 4, because 18 times m-reduction would yield (27, 194, 99)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4194, 99, S4, 2, 167), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 6304 320991 423116 673964 646416 022978 208812 758283 274471 466871 726944 679315 483439 553697 826282 600781 586502 529060 478449 090560 / 7 > 4194 [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.