Information on Result #548203
There is no linear OA(2183, 212, F2, 87) (dual of [212, 29, 88]-code), because “BK†bound on codes from Brouwer’s database
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(2183, 212, F2, 88) (dual of [212, 29, 89]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2183, 212, F2, 89) (dual of [212, 29, 90]-code) | [i] | ||
| 3 | No linear OA(2181, 210, F2, 87) (dual of [210, 29, 88]-code) | [i] | Code Embedding in Larger Space | |
| 4 | No linear OA(2180, 209, F2, 87) (dual of [209, 29, 88]-code) | [i] | ||
| 5 | No linear OA(2179, 208, F2, 87) (dual of [208, 29, 88]-code) | [i] | ||
| 6 | No linear OA(2178, 207, F2, 87) (dual of [207, 29, 88]-code) | [i] | ||
| 7 | No linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code) | [i] | Adding a Parity Check Bit | |