Information on Result #521757
There is no (79, 247, 252)-net in base 3, because extracting embedded orthogonal array would yield OA(3247, 252, S3, 168), but
- the (dual) Plotkin bound shows that M ≥ 1 716153 733051 169540 307898 602341 497569 311343 837142 335036 933392 894197 976205 305758 468407 429248 816168 018787 798340 006776 536241 / 169 > 3247 [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (79, 248, 252)-net in base 3 | [i] | m-Reduction | |
| 2 | No (79, 249, 252)-net in base 3 | [i] | ||
| 3 | No (79, 250, 252)-net in base 3 | [i] | ||