Information on Result #2156203
There is no linear OA(228, 38, F2, 14) (dual of [38, 10, 15]-code), because adding a parity check bit would yield linear OA(229, 39, F2, 15) (dual of [39, 10, 16]-code), but
- “Bou†bound on codes from Brouwer’s database [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 OOA(229, 38, F2, 2, 15) (dual of [(38, 2), 47, 16]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(228, 38, F2, 2, 14) (dual of [(38, 2), 48, 15]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(228, 38, F2, 3, 14) (dual of [(38, 3), 86, 15]-NRT-code) | [i] | ||
| 4 | No linear OOA(228, 38, F2, 4, 14) (dual of [(38, 4), 124, 15]-NRT-code) | [i] | ||
| 5 | No linear OOA(228, 38, F2, 5, 14) (dual of [(38, 5), 162, 15]-NRT-code) | [i] | ||
| 6 | No linear OOA(228, 38, F2, 6, 14) (dual of [(38, 6), 200, 15]-NRT-code) | [i] | ||
| 7 | No linear OOA(228, 38, F2, 7, 14) (dual of [(38, 7), 238, 15]-NRT-code) | [i] | ||
| 8 | No linear OOA(228, 38, F2, 8, 14) (dual of [(38, 8), 276, 15]-NRT-code) | [i] | ||
| 9 | No digital (14, 28, 38)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |