Information on Result #547731
There is no linear OA(310, 21, F3, 7) (dual of [21, 11, 8]-code), because construction Y1 would yield
- linear OA(39, 13, F3, 7) (dual of [13, 4, 8]-code), but
- 1 times truncation [i] would yield linear OA(38, 12, F3, 6) (dual of [12, 4, 7]-code), but
- OA(311, 21, S3, 8), but
- the linear programming bound shows that M ≥ 3018 053439 / 15926 > 311 [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(331, 44, F3, 21) (dual of [44, 13, 22]-code) | [i] | Residual Code | |