Information on Result #58500
There is no OA(36, 19, S3, 4), because the linear programming bound shows that M ≥ 51975 / 67 > 36
Mode: Bound.
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 OA(37, 20, S3, 5) | [i] | Truncation | |
| 2 | No linear OA(318, 32, F3, 12) (dual of [32, 14, 13]-code) | [i] | Residual Code | |
| 3 | No linear OA(313, 19, F3, 9) (dual of [19, 6, 10]-code) | [i] | Construction Y1 (Bound) | |