Information on Result #5075
There is no OA(3222, 227, S3, 151), because the (dual) Plotkin bound shows that M ≥ 675155 121849 745212 129793 196759 870681 725592 001960 937203 444022 441244 641816 765582 369161 757600 591162 976283 304329 / 76 > 3222
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(3223, 228, S3, 152) | [i] | Truncation | |
| 2 | No OOA(3223, 227, S3, 2, 152) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(3224, 227, S3, 2, 153) | [i] | ||
| 4 | No OOA(3225, 227, S3, 2, 154) | [i] | ||
| 5 | No OOA(3226, 227, S3, 2, 155) | [i] | ||
| 6 | No OOA(3227, 227, S3, 2, 156) | [i] | ||
| 7 | No OOA(3228, 227, S3, 2, 157) | [i] | ||
| 8 | No OOA(3229, 227, S3, 2, 158) | [i] | ||
| 9 | No OOA(3230, 227, S3, 2, 159) | [i] | ||
| 10 | No OOA(3231, 227, S3, 2, 160) | [i] | ||
| 11 | No OOA(3232, 227, S3, 2, 161) | [i] | ||
| 12 | No OOA(3233, 227, S3, 2, 162) | [i] | ||
| 13 | No OOA(3234, 227, S3, 2, 163) | [i] | ||
| 14 | No OOA(3235, 227, S3, 2, 164) | [i] | ||
| 15 | No OOA(3236, 227, S3, 2, 165) | [i] | ||
| 16 | No OOA(3237, 227, S3, 2, 166) | [i] | ||
| 17 | No OOA(3238, 227, S3, 2, 167) | [i] | ||
| 18 | No OOA(3239, 227, S3, 2, 168) | [i] | ||
| 19 | No OOA(3240, 227, S3, 2, 169) | [i] | ||
| 20 | No OOA(3241, 227, S3, 2, 170) | [i] | ||
| 21 | No OOA(3242, 227, S3, 2, 171) | [i] | ||
| 22 | No OOA(3243, 227, S3, 2, 172) | [i] | ||
| 23 | No OOA(3244, 227, S3, 2, 173) | [i] | ||
| 24 | No OOA(3245, 227, S3, 2, 174) | [i] | ||
| 25 | No OOA(3246, 227, S3, 2, 175) | [i] | ||
| 26 | No OOA(3247, 227, S3, 2, 176) | [i] | ||
| 27 | No OOA(3248, 227, S3, 2, 177) | [i] | ||
| 28 | No OOA(3249, 227, S3, 2, 178) | [i] | ||
| 29 | No OOA(3250, 227, S3, 2, 179) | [i] | ||
| 30 | No OOA(3222, 227, S3, 2, 151) | [i] | Depth Reduction | |
| 31 | No OOA(3222, 227, S3, 3, 151) | [i] | ||
| 32 | No OOA(3222, 227, S3, 4, 151) | [i] | ||
| 33 | No OOA(3222, 227, S3, 5, 151) | [i] | ||
| 34 | No (71, 222, 227)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |