Information on Result #2156199
There is no linear OA(225, 38, F2, 12) (dual of [38, 13, 13]-code), because adding a parity check bit would yield linear OA(226, 39, F2, 13) (dual of [39, 13, 14]-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(226, 38, F2, 2, 13) (dual of [(38, 2), 50, 14]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(225, 38, F2, 2, 12) (dual of [(38, 2), 51, 13]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(225, 38, F2, 3, 12) (dual of [(38, 3), 89, 13]-NRT-code) | [i] | ||
| 4 | No linear OOA(225, 38, F2, 4, 12) (dual of [(38, 4), 127, 13]-NRT-code) | [i] | ||
| 5 | No linear OOA(225, 38, F2, 5, 12) (dual of [(38, 5), 165, 13]-NRT-code) | [i] | ||
| 6 | No linear OOA(225, 38, F2, 6, 12) (dual of [(38, 6), 203, 13]-NRT-code) | [i] | ||
| 7 | No linear OOA(225, 38, F2, 7, 12) (dual of [(38, 7), 241, 13]-NRT-code) | [i] | ||
| 8 | No linear OOA(225, 38, F2, 8, 12) (dual of [(38, 8), 279, 13]-NRT-code) | [i] | ||
| 9 | No digital (13, 25, 38)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(249, 63, F2, 24) (dual of [63, 14, 25]-code) | [i] | Residual Code | |