Information on Result #2156265
There is no linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), because adding a parity check bit would yield linear OA(2167, 196, F2, 79) (dual of [196, 29, 80]-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(2166, 195, F2, 79) (dual of [195, 29, 80]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2165, 194, F2, 78) (dual of [194, 29, 79]-code) | [i] | Code Embedding in Larger Space | |
| 3 | No linear OA(2164, 193, F2, 78) (dual of [193, 29, 79]-code) | [i] | ||
| 4 | No linear OA(2163, 192, F2, 78) (dual of [192, 29, 79]-code) | [i] | ||
| 5 | No linear OA(2162, 191, F2, 78) (dual of [191, 29, 79]-code) | [i] | ||
| 6 | No linear OA(2161, 190, F2, 78) (dual of [190, 29, 79]-code) | [i] | ||
| 7 | No linear OA(2160, 189, F2, 78) (dual of [189, 29, 79]-code) | [i] | ||
| 8 | No linear OOA(2167, 195, F2, 2, 79) (dual of [(195, 2), 223, 80]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(2168, 195, F2, 2, 80) (dual of [(195, 2), 222, 81]-NRT-code) | [i] | ||
| 10 | No linear OOA(2169, 195, F2, 2, 81) (dual of [(195, 2), 221, 82]-NRT-code) | [i] | ||
| 11 | No linear OOA(2166, 195, F2, 2, 78) (dual of [(195, 2), 224, 79]-NRT-code) | [i] | Depth Reduction | |
| 12 | No linear OOA(2166, 195, F2, 3, 78) (dual of [(195, 3), 419, 79]-NRT-code) | [i] | ||
| 13 | No linear OOA(2166, 195, F2, 4, 78) (dual of [(195, 4), 614, 79]-NRT-code) | [i] | ||
| 14 | No linear OOA(2166, 195, F2, 5, 78) (dual of [(195, 5), 809, 79]-NRT-code) | [i] | ||
| 15 | No linear OOA(2166, 195, F2, 6, 78) (dual of [(195, 6), 1004, 79]-NRT-code) | [i] | ||
| 16 | No linear OOA(2166, 195, F2, 7, 78) (dual of [(195, 7), 1199, 79]-NRT-code) | [i] | ||
| 17 | No linear OOA(2166, 195, F2, 8, 78) (dual of [(195, 8), 1394, 79]-NRT-code) | [i] | ||
| 18 | No digital (88, 166, 195)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 19 | No linear OA(2167, 211, F2, 78) (dual of [211, 44, 79]-code) | [i] | Construction Y1 (Bound) | |