Information on Result #546475
There is no linear OA(2231, 243, F2, 116) (dual of [243, 12, 117]-code), because residual code would yield OA(2115, 126, S2, 58), but
- the linear programming bound shows that M ≥ 76 098302 758686 433723 742954 201049 726976 / 1575 > 2115 [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(2232, 244, F2, 117) (dual of [244, 12, 118]-code) | [i] | Truncation | |