Information on Result #2156204
There is no linear OA(229, 42, F2, 14) (dual of [42, 13, 15]-code), because adding a parity check bit would yield linear OA(230, 43, F2, 15) (dual of [43, 13, 16]-code), but
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 OOA(230, 42, F2, 2, 15) (dual of [(42, 2), 54, 16]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(229, 42, F2, 2, 14) (dual of [(42, 2), 55, 15]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(229, 42, F2, 3, 14) (dual of [(42, 3), 97, 15]-NRT-code) | [i] | ||
| 4 | No linear OOA(229, 42, F2, 4, 14) (dual of [(42, 4), 139, 15]-NRT-code) | [i] | ||
| 5 | No linear OOA(229, 42, F2, 5, 14) (dual of [(42, 5), 181, 15]-NRT-code) | [i] | ||
| 6 | No linear OOA(229, 42, F2, 6, 14) (dual of [(42, 6), 223, 15]-NRT-code) | [i] | ||
| 7 | No linear OOA(229, 42, F2, 7, 14) (dual of [(42, 7), 265, 15]-NRT-code) | [i] | ||
| 8 | No linear OOA(229, 42, F2, 8, 14) (dual of [(42, 8), 307, 15]-NRT-code) | [i] | ||
| 9 | No digital (15, 29, 42)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(218, 47, F2, 8) (dual of [47, 29, 9]-code) | [i] | Construction Y1 (Bound) | |