Information on Result #548473
There is no linear OA(3196, 203, F3, 132) (dual of [203, 7, 133]-code), because residual code would yield linear OA(364, 70, F3, 44) (dual of [70, 6, 45]-code), but
- 1 times truncation [i] would yield linear OA(363, 69, F3, 43) (dual of [69, 6, 44]-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(3197, 204, F3, 133) (dual of [204, 7, 134]-code) | [i] | Truncation | |
| 2 | No linear OA(3198, 205, F3, 134) (dual of [205, 7, 135]-code) | [i] | ||
| 3 | No linear OOA(3196, 203, F3, 2, 132) (dual of [(203, 2), 210, 133]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(3196, 203, F3, 3, 132) (dual of [(203, 3), 413, 133]-NRT-code) | [i] | ||
| 5 | No linear OOA(3196, 203, F3, 4, 132) (dual of [(203, 4), 616, 133]-NRT-code) | [i] | ||
| 6 | No linear OOA(3196, 203, F3, 5, 132) (dual of [(203, 5), 819, 133]-NRT-code) | [i] | ||
| 7 | No linear OA(3197, 207, F3, 132) (dual of [207, 10, 133]-code) | [i] | Construction Y1 (Bound) | |