Information on Result #548377
There is no linear OA(2184, 196, F2, 92) (dual of [196, 12, 93]-code), because residual code would yield linear OA(292, 103, F2, 46) (dual of [103, 11, 47]-code), but
- adding a parity check bit [i] would yield linear OA(293, 104, F2, 47) (dual of [104, 11, 48]-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(2185, 197, F2, 93) (dual of [197, 12, 94]-code) | [i] | Truncation | |
| 2 | No linear OOA(2185, 196, F2, 2, 93) (dual of [(196, 2), 207, 94]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2186, 196, F2, 2, 94) (dual of [(196, 2), 206, 95]-NRT-code) | [i] | ||
| 4 | No linear OOA(2187, 196, F2, 2, 95) (dual of [(196, 2), 205, 96]-NRT-code) | [i] | ||
| 5 | No linear OOA(2184, 196, F2, 2, 92) (dual of [(196, 2), 208, 93]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2184, 196, F2, 3, 92) (dual of [(196, 3), 404, 93]-NRT-code) | [i] | ||
| 7 | No linear OOA(2184, 196, F2, 4, 92) (dual of [(196, 4), 600, 93]-NRT-code) | [i] | ||
| 8 | No linear OOA(2184, 196, F2, 5, 92) (dual of [(196, 5), 796, 93]-NRT-code) | [i] | ||
| 9 | No linear OOA(2184, 196, F2, 6, 92) (dual of [(196, 6), 992, 93]-NRT-code) | [i] | ||
| 10 | No linear OOA(2184, 196, F2, 7, 92) (dual of [(196, 7), 1188, 93]-NRT-code) | [i] | ||
| 11 | No linear OOA(2184, 196, F2, 8, 92) (dual of [(196, 8), 1384, 93]-NRT-code) | [i] | ||
| 12 | No digital (92, 184, 196)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |