Information on Result #5085
There is no OA(3231, 236, S3, 157), because 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(3232, 237, S3, 158) | [i] | Truncation | |
| 2 | No OOA(3232, 236, S3, 2, 158) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3233, 236, S3, 2, 159) | [i] | ||
| 4 | No OOA(3234, 236, S3, 2, 160) | [i] | ||
| 5 | No OOA(3235, 236, S3, 2, 161) | [i] | ||
| 6 | No OOA(3236, 236, S3, 2, 162) | [i] | ||
| 7 | No OOA(3237, 236, S3, 2, 163) | [i] | ||
| 8 | No OOA(3238, 236, S3, 2, 164) | [i] | ||
| 9 | No OOA(3239, 236, S3, 2, 165) | [i] | ||
| 10 | No OOA(3240, 236, S3, 2, 166) | [i] | ||
| 11 | No OOA(3241, 236, S3, 2, 167) | [i] | ||
| 12 | No OOA(3242, 236, S3, 2, 168) | [i] | ||
| 13 | No OOA(3243, 236, S3, 2, 169) | [i] | ||
| 14 | No OOA(3244, 236, S3, 2, 170) | [i] | ||
| 15 | No OOA(3245, 236, S3, 2, 171) | [i] | ||
| 16 | No OOA(3246, 236, S3, 2, 172) | [i] | ||
| 17 | No OOA(3247, 236, S3, 2, 173) | [i] | ||
| 18 | No OOA(3248, 236, S3, 2, 174) | [i] | ||
| 19 | No OOA(3249, 236, S3, 2, 175) | [i] | ||
| 20 | No OOA(3250, 236, S3, 2, 176) | [i] | ||
| 21 | No OOA(3231, 236, S3, 2, 157) | [i] | Depth Reduction | |
| 22 | No OOA(3231, 236, S3, 3, 157) | [i] | ||
| 23 | No OOA(3231, 236, S3, 4, 157) | [i] | ||
| 24 | No OOA(3231, 236, S3, 5, 157) | [i] | ||
| 25 | No (74, 231, 236)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |