Information on Result #546571
There is no linear OA(322, 36, F3, 15) (dual of [36, 14, 16]-code), because residual code would yield OA(37, 20, S3, 5), but
- 1 times truncation [i] would yield OA(36, 19, S3, 4), but
- the linear programming bound shows that M ≥ 51975 / 67 > 36 [i]
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(317, 39, F3, 11) (dual of [39, 22, 12]-code) | [i] | Construction Y1 (Bound) | |