Information on Result #546166
There is no linear OA(246, 54, F2, 24) (dual of [54, 8, 25]-code), because residual code would yield linear OA(222, 29, F2, 12) (dual of [29, 7, 13]-code), but
- residual code [i] would yield OA(210, 16, S2, 6), but
- the linear programming bound shows that M ≥ 27136 / 21 > 210 [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(294, 103, F2, 48) (dual of [103, 9, 49]-code) | [i] | Residual Code | |