Information on Result #548441
There is no linear OA(357, 62, F3, 39) (dual of [62, 5, 40]-code), because residual code would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- 1 times truncation [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(358, 63, F3, 40) (dual of [63, 5, 41]-code) | [i] | Truncation | |
| 2 | No linear OA(359, 64, F3, 41) (dual of [64, 5, 42]-code) | [i] | ||
| 3 | No linear OOA(357, 62, F3, 2, 39) (dual of [(62, 2), 67, 40]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(357, 62, F3, 3, 39) (dual of [(62, 3), 129, 40]-NRT-code) | [i] | ||
| 5 | No linear OOA(357, 62, F3, 4, 39) (dual of [(62, 4), 191, 40]-NRT-code) | [i] | ||
| 6 | No linear OOA(357, 62, F3, 5, 39) (dual of [(62, 5), 253, 40]-NRT-code) | [i] | ||
| 7 | No linear OA(3174, 180, F3, 117) (dual of [180, 6, 118]-code) | [i] | Residual Code | |
| 8 | No linear OA(358, 66, F3, 39) (dual of [66, 8, 40]-code) | [i] | Construction Y1 (Bound) | |