Information on Result #548373
There is no linear OA(2180, 194, F2, 90) (dual of [194, 14, 91]-code), because residual code would yield linear OA(290, 103, F2, 45) (dual of [103, 13, 46]-code), but
- 1 times truncation [i] would yield linear OA(289, 102, F2, 44) (dual of [102, 13, 45]-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(2181, 195, F2, 91) (dual of [195, 14, 92]-code) | [i] | Truncation | |
| 2 | No linear OOA(2181, 194, F2, 2, 91) (dual of [(194, 2), 207, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2180, 194, F2, 2, 90) (dual of [(194, 2), 208, 91]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2180, 194, F2, 3, 90) (dual of [(194, 3), 402, 91]-NRT-code) | [i] | ||
| 5 | No linear OOA(2180, 194, F2, 4, 90) (dual of [(194, 4), 596, 91]-NRT-code) | [i] | ||
| 6 | No linear OOA(2180, 194, F2, 5, 90) (dual of [(194, 5), 790, 91]-NRT-code) | [i] | ||
| 7 | No linear OOA(2180, 194, F2, 6, 90) (dual of [(194, 6), 984, 91]-NRT-code) | [i] | ||
| 8 | No linear OOA(2180, 194, F2, 7, 90) (dual of [(194, 7), 1178, 91]-NRT-code) | [i] | ||
| 9 | No linear OOA(2180, 194, F2, 8, 90) (dual of [(194, 8), 1372, 91]-NRT-code) | [i] | ||
| 10 | No digital (90, 180, 194)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |