Information on Result #548091
There is no linear OA(210, 34, F2, 4) (dual of [34, 24, 5]-code), because “BoV†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(211, 35, F2, 5) (dual of [35, 24, 6]-code) | [i] | Truncation | |
| 2 | No linear OOA(211, 34, F2, 2, 5) (dual of [(34, 2), 57, 6]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(210, 34, F2, 2, 4) (dual of [(34, 2), 58, 5]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(210, 34, F2, 3, 4) (dual of [(34, 3), 92, 5]-NRT-code) | [i] | ||
| 5 | No linear OOA(210, 34, F2, 4, 4) (dual of [(34, 4), 126, 5]-NRT-code) | [i] | ||
| 6 | No linear OOA(210, 34, F2, 5, 4) (dual of [(34, 5), 160, 5]-NRT-code) | [i] | ||
| 7 | No linear OOA(210, 34, F2, 6, 4) (dual of [(34, 6), 194, 5]-NRT-code) | [i] | ||
| 8 | No linear OOA(210, 34, F2, 7, 4) (dual of [(34, 7), 228, 5]-NRT-code) | [i] | ||
| 9 | No linear OOA(210, 34, F2, 8, 4) (dual of [(34, 8), 262, 5]-NRT-code) | [i] | ||
| 10 | No digital (6, 10, 34)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(211, 58, F2, 4) (dual of [58, 47, 5]-code) | [i] | Construction Y1 (Bound) | |