Information on Result #548478
There is no linear OA(3209, 225, F3, 138) (dual of [225, 16, 139]-code), because residual code would yield linear OA(371, 86, F3, 46) (dual of [86, 15, 47]-code), but
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(3210, 226, F3, 139) (dual of [226, 16, 140]-code) | [i] | Truncation | |
| 2 | No linear OA(3211, 227, F3, 140) (dual of [227, 16, 141]-code) | [i] | ||
| 3 | No linear OOA(3210, 225, F3, 2, 139) (dual of [(225, 2), 240, 140]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3211, 225, F3, 2, 140) (dual of [(225, 2), 239, 141]-NRT-code) | [i] | ||
| 5 | No linear OOA(3212, 225, F3, 2, 141) (dual of [(225, 2), 238, 142]-NRT-code) | [i] | ||
| 6 | No linear OOA(3213, 225, F3, 2, 142) (dual of [(225, 2), 237, 143]-NRT-code) | [i] | ||
| 7 | No linear OOA(3214, 225, F3, 2, 143) (dual of [(225, 2), 236, 144]-NRT-code) | [i] | ||
| 8 | No linear OOA(3209, 225, F3, 2, 138) (dual of [(225, 2), 241, 139]-NRT-code) | [i] | Depth Reduction | |
| 9 | No linear OOA(3209, 225, F3, 3, 138) (dual of [(225, 3), 466, 139]-NRT-code) | [i] | ||
| 10 | No linear OOA(3209, 225, F3, 4, 138) (dual of [(225, 4), 691, 139]-NRT-code) | [i] | ||
| 11 | No linear OOA(3209, 225, F3, 5, 138) (dual of [(225, 5), 916, 139]-NRT-code) | [i] | ||
| 12 | No digital (71, 209, 225)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |