Information on Result #2156269
There is no linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code), because adding a parity check bit would yield linear OA(2183, 212, F2, 87) (dual of [212, 29, 88]-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 OA(2182, 211, F2, 87) (dual of [211, 29, 88]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2182, 211, F2, 88) (dual of [211, 29, 89]-code) | [i] | ||
| 3 | No linear OA(2181, 210, F2, 86) (dual of [210, 29, 87]-code) | [i] | Code Embedding in Larger Space | |
| 4 | No linear OA(2180, 209, F2, 86) (dual of [209, 29, 87]-code) | [i] | ||
| 5 | No linear OA(2179, 208, F2, 86) (dual of [208, 29, 87]-code) | [i] | ||
| 6 | No linear OA(2178, 207, F2, 86) (dual of [207, 29, 87]-code) | [i] | ||
| 7 | No linear OA(2177, 206, F2, 86) (dual of [206, 29, 87]-code) | [i] | ||
| 8 | No linear OA(2184, 213, F2, 88) (dual of [213, 29, 89]-code) | [i] | Truncation | |
| 9 | No linear OA(2185, 214, F2, 89) (dual of [214, 29, 90]-code) | [i] | ||
| 10 | No linear OA(2186, 215, F2, 90) (dual of [215, 29, 91]-code) | [i] | ||
| 11 | No linear OA(2187, 216, F2, 91) (dual of [216, 29, 92]-code) | [i] | ||
| 12 | No linear OOA(2183, 211, F2, 2, 87) (dual of [(211, 2), 239, 88]-NRT-code) | [i] | m-Reduction for OOAs | |
| 13 | No linear OOA(2184, 211, F2, 2, 88) (dual of [(211, 2), 238, 89]-NRT-code) | [i] | ||
| 14 | No linear OOA(2185, 211, F2, 2, 89) (dual of [(211, 2), 237, 90]-NRT-code) | [i] | ||
| 15 | No linear OOA(2186, 211, F2, 2, 90) (dual of [(211, 2), 236, 91]-NRT-code) | [i] | ||
| 16 | No linear OOA(2187, 211, F2, 2, 91) (dual of [(211, 2), 235, 92]-NRT-code) | [i] | ||
| 17 | No linear OOA(2189, 211, F2, 2, 93) (dual of [(211, 2), 233, 94]-NRT-code) | [i] | ||
| 18 | No linear OOA(2191, 211, F2, 2, 95) (dual of [(211, 2), 231, 96]-NRT-code) | [i] | ||
| 19 | No linear OOA(2182, 211, F2, 2, 86) (dual of [(211, 2), 240, 87]-NRT-code) | [i] | Depth Reduction | |
| 20 | No linear OOA(2182, 211, F2, 3, 86) (dual of [(211, 3), 451, 87]-NRT-code) | [i] | ||
| 21 | No linear OOA(2182, 211, F2, 4, 86) (dual of [(211, 4), 662, 87]-NRT-code) | [i] | ||
| 22 | No linear OOA(2182, 211, F2, 5, 86) (dual of [(211, 5), 873, 87]-NRT-code) | [i] | ||
| 23 | No linear OOA(2182, 211, F2, 6, 86) (dual of [(211, 6), 1084, 87]-NRT-code) | [i] | ||
| 24 | No linear OOA(2182, 211, F2, 7, 86) (dual of [(211, 7), 1295, 87]-NRT-code) | [i] | ||
| 25 | No linear OOA(2182, 211, F2, 8, 86) (dual of [(211, 8), 1506, 87]-NRT-code) | [i] | ||
| 26 | No digital (96, 182, 211)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 27 | No linear OA(2183, 225, F2, 86) (dual of [225, 42, 87]-code) | [i] | Construction Y1 (Bound) | |