Information on Result #3049674
There is no (74, 249, 236)-net in base 3, because 18 times m-reduction would yield (74, 231, 236)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3231, 236, S3, 157), but
- the (dual) Plotkin bound shows that M ≥ 13289 078263 368535 010350 719491 824534 628404 827374 597126 975388 693711 018284 879396 957772 210874 852435 860862 184279 107707 / 79 > 3231 [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.