Information on Result #548378
There is no linear OA(2185, 200, F2, 92) (dual of [200, 15, 93]-code), because residual code would yield linear OA(293, 107, F2, 46) (dual of [107, 14, 47]-code), but
- adding a parity check bit [i] would yield linear OA(294, 108, F2, 47) (dual of [108, 14, 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(2186, 201, F2, 93) (dual of [201, 15, 94]-code) | [i] | Truncation | |
| 2 | No linear OOA(2186, 200, F2, 2, 93) (dual of [(200, 2), 214, 94]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2185, 200, F2, 2, 92) (dual of [(200, 2), 215, 93]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2185, 200, F2, 3, 92) (dual of [(200, 3), 415, 93]-NRT-code) | [i] | ||
| 5 | No linear OOA(2185, 200, F2, 4, 92) (dual of [(200, 4), 615, 93]-NRT-code) | [i] | ||
| 6 | No linear OOA(2185, 200, F2, 5, 92) (dual of [(200, 5), 815, 93]-NRT-code) | [i] | ||
| 7 | No linear OOA(2185, 200, F2, 6, 92) (dual of [(200, 6), 1015, 93]-NRT-code) | [i] | ||
| 8 | No linear OOA(2185, 200, F2, 7, 92) (dual of [(200, 7), 1215, 93]-NRT-code) | [i] | ||
| 9 | No linear OOA(2185, 200, F2, 8, 92) (dual of [(200, 8), 1415, 93]-NRT-code) | [i] | ||
| 10 | No digital (93, 185, 200)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |