Information on Result #2156263
There is no linear OA(2163, 196, F2, 76) (dual of [196, 33, 77]-code), because adding a parity check bit would yield linear OA(2164, 197, F2, 77) (dual of [197, 33, 78]-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(2163, 196, F2, 77) (dual of [196, 33, 78]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2162, 195, F2, 76) (dual of [195, 33, 77]-code) | [i] | Code Embedding in Larger Space | |
| 3 | No linear OA(2161, 194, F2, 76) (dual of [194, 33, 77]-code) | [i] | ||
| 4 | No linear OA(2160, 193, F2, 76) (dual of [193, 33, 77]-code) | [i] | ||
| 5 | No linear OA(2159, 192, F2, 76) (dual of [192, 33, 77]-code) | [i] | ||
| 6 | No linear OA(2158, 191, F2, 76) (dual of [191, 33, 77]-code) | [i] | ||
| 7 | No linear OOA(2164, 196, F2, 2, 77) (dual of [(196, 2), 228, 78]-NRT-code) | [i] | m-Reduction for OOAs | |
| 8 | No linear OOA(2163, 196, F2, 2, 76) (dual of [(196, 2), 229, 77]-NRT-code) | [i] | Depth Reduction | |
| 9 | No linear OOA(2163, 196, F2, 3, 76) (dual of [(196, 3), 425, 77]-NRT-code) | [i] | ||
| 10 | No linear OOA(2163, 196, F2, 4, 76) (dual of [(196, 4), 621, 77]-NRT-code) | [i] | ||
| 11 | No linear OOA(2163, 196, F2, 5, 76) (dual of [(196, 5), 817, 77]-NRT-code) | [i] | ||
| 12 | No linear OOA(2163, 196, F2, 6, 76) (dual of [(196, 6), 1013, 77]-NRT-code) | [i] | ||
| 13 | No linear OOA(2163, 196, F2, 7, 76) (dual of [(196, 7), 1209, 77]-NRT-code) | [i] | ||
| 14 | No linear OOA(2163, 196, F2, 8, 76) (dual of [(196, 8), 1405, 77]-NRT-code) | [i] | ||
| 15 | No digital (87, 163, 196)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |