Information on Result #548481
There is no linear OA(3213, 229, F3, 141) (dual of [229, 16, 142]-code), because residual code would yield linear OA(372, 87, F3, 47) (dual of [87, 15, 48]-code), but
- 1 times truncation [i] 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(3214, 230, F3, 142) (dual of [230, 16, 143]-code) | [i] | Truncation | |
| 2 | No linear OA(3215, 231, F3, 143) (dual of [231, 16, 144]-code) | [i] | ||
| 3 | No linear OOA(3214, 229, F3, 2, 142) (dual of [(229, 2), 244, 143]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3215, 229, F3, 2, 143) (dual of [(229, 2), 243, 144]-NRT-code) | [i] | ||
| 5 | No linear OOA(3213, 229, F3, 2, 141) (dual of [(229, 2), 245, 142]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3213, 229, F3, 3, 141) (dual of [(229, 3), 474, 142]-NRT-code) | [i] | ||
| 7 | No linear OOA(3213, 229, F3, 4, 141) (dual of [(229, 4), 703, 142]-NRT-code) | [i] | ||
| 8 | No linear OOA(3213, 229, F3, 5, 141) (dual of [(229, 5), 932, 142]-NRT-code) | [i] | ||
| 9 | No digital (72, 213, 229)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |