Information on Result #548462
There is no linear OA(3169, 175, F3, 114) (dual of [175, 6, 115]-code), because residual code would yield linear OA(355, 60, F3, 38) (dual of [60, 5, 39]-code), but
- 2 times truncation [i] would yield linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-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(3170, 176, F3, 115) (dual of [176, 6, 116]-code) | [i] | Truncation | |
| 2 | No linear OA(3171, 177, F3, 116) (dual of [177, 6, 117]-code) | [i] | ||
| 3 | No linear OOA(3169, 175, F3, 2, 114) (dual of [(175, 2), 181, 115]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(3169, 175, F3, 3, 114) (dual of [(175, 3), 356, 115]-NRT-code) | [i] | ||
| 5 | No linear OOA(3169, 175, F3, 4, 114) (dual of [(175, 4), 531, 115]-NRT-code) | [i] | ||
| 6 | No linear OOA(3169, 175, F3, 5, 114) (dual of [(175, 5), 706, 115]-NRT-code) | [i] | ||
| 7 | No linear OA(3170, 179, F3, 114) (dual of [179, 9, 115]-code) | [i] | Construction Y1 (Bound) | |