Information on Result #2156268
There is no linear OA(2179, 209, F2, 84) (dual of [209, 30, 85]-code), because adding a parity check bit would yield linear OA(2180, 210, F2, 85) (dual of [210, 30, 86]-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(2179, 209, F2, 85) (dual of [209, 30, 86]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2178, 208, F2, 84) (dual of [208, 30, 85]-code) | [i] | Code Embedding in Larger Space | |
| 3 | No linear OA(2177, 207, F2, 84) (dual of [207, 30, 85]-code) | [i] | ||
| 4 | No linear OA(2176, 206, F2, 84) (dual of [206, 30, 85]-code) | [i] | ||
| 5 | No linear OA(2175, 205, F2, 84) (dual of [205, 30, 85]-code) | [i] | ||
| 6 | No linear OOA(2180, 209, F2, 2, 85) (dual of [(209, 2), 238, 86]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | No linear OOA(2181, 209, F2, 2, 86) (dual of [(209, 2), 237, 87]-NRT-code) | [i] | ||
| 8 | No linear OOA(2182, 209, F2, 2, 87) (dual of [(209, 2), 236, 88]-NRT-code) | [i] | ||
| 9 | No linear OOA(2183, 209, F2, 2, 88) (dual of [(209, 2), 235, 89]-NRT-code) | [i] | ||
| 10 | No linear OOA(2184, 209, F2, 2, 89) (dual of [(209, 2), 234, 90]-NRT-code) | [i] | ||
| 11 | No linear OOA(2185, 209, F2, 2, 90) (dual of [(209, 2), 233, 91]-NRT-code) | [i] | ||
| 12 | No linear OOA(2186, 209, F2, 2, 91) (dual of [(209, 2), 232, 92]-NRT-code) | [i] | ||
| 13 | No linear OOA(2179, 209, F2, 2, 84) (dual of [(209, 2), 239, 85]-NRT-code) | [i] | Depth Reduction | |
| 14 | No linear OOA(2179, 209, F2, 3, 84) (dual of [(209, 3), 448, 85]-NRT-code) | [i] | ||
| 15 | No linear OOA(2179, 209, F2, 4, 84) (dual of [(209, 4), 657, 85]-NRT-code) | [i] | ||
| 16 | No linear OOA(2179, 209, F2, 5, 84) (dual of [(209, 5), 866, 85]-NRT-code) | [i] | ||
| 17 | No linear OOA(2179, 209, F2, 6, 84) (dual of [(209, 6), 1075, 85]-NRT-code) | [i] | ||
| 18 | No linear OOA(2179, 209, F2, 7, 84) (dual of [(209, 7), 1284, 85]-NRT-code) | [i] | ||
| 19 | No linear OOA(2179, 209, F2, 8, 84) (dual of [(209, 8), 1493, 85]-NRT-code) | [i] | ||
| 20 | No digital (95, 179, 209)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 21 | No linear OA(2180, 225, F2, 84) (dual of [225, 45, 85]-code) | [i] | Construction Y1 (Bound) | |
| 22 | Linear OA(275, 171, F2, 20) (dual of [171, 96, 21]-code) | [i] | Construction Y1 | |