Information on Result #3061924
There is no (11, 172, 45)-net in base 4, because 41 times m-reduction would yield (11, 131, 45)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4131, 45, S4, 3, 120), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1452 495967 392894 355393 274435 948981 116111 418687 645795 235310 955933 795262 298203 357184 / 121 > 4131 [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
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Depending Results
None.