Information on Result #481357
There is no (57, 165, 251)-net in base 3, because the generalized Rao bound for nets shows that 3m ≥ 5 315578 887658 422406 039689 345029 035600 443723 768072 020407 435211 429571 099421 420269 > 3165
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (57, 166, 251)-net in base 3 | [i] | m-Reduction | |