Information on Result #548272
There is no linear OA(711, 15, F7, 10) (dual of [15, 4, 11]-code), because “BPM†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(712, 16, F7, 11) (dual of [16, 4, 12]-code) | [i] | Truncation | |
| 2 | No linear OOA(726, 15, F7, 2, 25) (dual of [(15, 2), 4, 26]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(741, 15, F7, 3, 40) (dual of [(15, 3), 4, 41]-NRT-code) | [i] | ||
| 4 | No linear OA(781, 86, F7, 70) (dual of [86, 5, 71]-code) | [i] | Residual Code | |
| 5 | No linear OA(712, 36, F7, 10) (dual of [36, 24, 11]-code) | [i] | Construction Y1 (Bound) | |