Information on Result #546424
There is no linear OA(2194, 211, F2, 96) (dual of [211, 17, 97]-code), because residual code would yield OA(298, 114, S2, 48), but
- the linear programming bound shows that M ≥ 141449 524575 866749 536608 130468 675584 / 431375 > 298 [i]
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(2195, 212, F2, 97) (dual of [212, 17, 98]-code) | [i] | Truncation | |
| 2 | No linear OOA(2195, 211, F2, 2, 97) (dual of [(211, 2), 227, 98]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2194, 211, F2, 2, 96) (dual of [(211, 2), 228, 97]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2194, 211, F2, 3, 96) (dual of [(211, 3), 439, 97]-NRT-code) | [i] | ||
| 5 | No linear OOA(2194, 211, F2, 4, 96) (dual of [(211, 4), 650, 97]-NRT-code) | [i] | ||
| 6 | No linear OOA(2194, 211, F2, 5, 96) (dual of [(211, 5), 861, 97]-NRT-code) | [i] | ||
| 7 | No linear OOA(2194, 211, F2, 6, 96) (dual of [(211, 6), 1072, 97]-NRT-code) | [i] | ||
| 8 | No linear OOA(2194, 211, F2, 7, 96) (dual of [(211, 7), 1283, 97]-NRT-code) | [i] | ||
| 9 | No linear OOA(2194, 211, F2, 8, 96) (dual of [(211, 8), 1494, 97]-NRT-code) | [i] | ||
| 10 | No digital (98, 194, 211)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |