Information on Result #5103
There is no OA(3247, 252, S3, 168), because 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
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(3248, 253, S3, 169) | [i] | Truncation | |
| 2 | No OOA(3248, 252, S3, 2, 169) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3249, 252, S3, 2, 170) | [i] | ||
| 4 | No OOA(3250, 252, S3, 2, 171) | [i] | ||
| 5 | No OOA(3247, 252, S3, 2, 168) | [i] | Depth Reduction | |
| 6 | No OOA(3247, 252, S3, 3, 168) | [i] | ||
| 7 | No OOA(3247, 252, S3, 4, 168) | [i] | ||
| 8 | No OOA(3247, 252, S3, 5, 168) | [i] | ||
| 9 | No (79, 247, 252)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |