Information on Result #547040
There is no linear OA(3233, 242, F3, 156) (dual of [242, 9, 157]-code), because residual code would yield OA(377, 85, S3, 52), but
- the linear programming bound shows that M ≥ 626561 627887 412368 936876 728064 858798 530639 / 100223 > 377 [i]
Mode: Bound (linear).
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 linear OA(3234, 243, F3, 157) (dual of [243, 9, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(3235, 244, F3, 158) (dual of [244, 9, 159]-code) | [i] | ||
| 3 | No linear OOA(3234, 242, F3, 2, 157) (dual of [(242, 2), 250, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3235, 242, F3, 2, 158) (dual of [(242, 2), 249, 159]-NRT-code) | [i] | ||
| 5 | No linear OOA(3236, 242, F3, 2, 159) (dual of [(242, 2), 248, 160]-NRT-code) | [i] | ||
| 6 | No linear OOA(3237, 242, F3, 2, 160) (dual of [(242, 2), 247, 161]-NRT-code) | [i] | ||
| 7 | No linear OOA(3238, 242, F3, 2, 161) (dual of [(242, 2), 246, 162]-NRT-code) | [i] | ||
| 8 | No linear OOA(3239, 242, F3, 2, 162) (dual of [(242, 2), 245, 163]-NRT-code) | [i] | ||
| 9 | No linear OOA(3240, 242, F3, 2, 163) (dual of [(242, 2), 244, 164]-NRT-code) | [i] | ||
| 10 | No linear OOA(3241, 242, F3, 2, 164) (dual of [(242, 2), 243, 165]-NRT-code) | [i] | ||
| 11 | No linear OOA(3242, 242, F3, 2, 165) (dual of [(242, 2), 242, 166]-NRT-code) | [i] | ||
| 12 | No linear OOA(3243, 242, F3, 2, 166) (dual of [(242, 2), 241, 167]-NRT-code) | [i] | ||
| 13 | No linear OOA(3244, 242, F3, 2, 167) (dual of [(242, 2), 240, 168]-NRT-code) | [i] | ||
| 14 | No linear OOA(3245, 242, F3, 2, 168) (dual of [(242, 2), 239, 169]-NRT-code) | [i] | ||
| 15 | No linear OOA(3246, 242, F3, 2, 169) (dual of [(242, 2), 238, 170]-NRT-code) | [i] | ||
| 16 | No linear OOA(3247, 242, F3, 2, 170) (dual of [(242, 2), 237, 171]-NRT-code) | [i] | ||
| 17 | No linear OOA(3248, 242, F3, 2, 171) (dual of [(242, 2), 236, 172]-NRT-code) | [i] | ||
| 18 | No linear OOA(3249, 242, F3, 2, 172) (dual of [(242, 2), 235, 173]-NRT-code) | [i] | ||
| 19 | No linear OOA(3250, 242, F3, 2, 173) (dual of [(242, 2), 234, 174]-NRT-code) | [i] | ||
| 20 | No linear OOA(3233, 242, F3, 2, 156) (dual of [(242, 2), 251, 157]-NRT-code) | [i] | Depth Reduction | |
| 21 | No linear OOA(3233, 242, F3, 3, 156) (dual of [(242, 3), 493, 157]-NRT-code) | [i] | ||
| 22 | No linear OOA(3233, 242, F3, 4, 156) (dual of [(242, 4), 735, 157]-NRT-code) | [i] | ||
| 23 | No linear OOA(3233, 242, F3, 5, 156) (dual of [(242, 5), 977, 157]-NRT-code) | [i] | ||
| 24 | No digital (77, 233, 242)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |