Information on Result #546429
There is no linear OA(2199, 231, F2, 96) (dual of [231, 32, 97]-code), because residual code would yield OA(2103, 134, S2, 48), but
- the linear programming bound shows that M ≥ 14817 140394 002966 911489 108655 371959 926784 / 1391 278625 > 2103 [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(2200, 232, F2, 97) (dual of [232, 32, 98]-code) | [i] | Truncation | |
| 2 | No linear OOA(2200, 231, F2, 2, 97) (dual of [(231, 2), 262, 98]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2199, 231, F2, 2, 96) (dual of [(231, 2), 263, 97]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2199, 231, F2, 3, 96) (dual of [(231, 3), 494, 97]-NRT-code) | [i] | ||
| 5 | No linear OOA(2199, 231, F2, 4, 96) (dual of [(231, 4), 725, 97]-NRT-code) | [i] | ||
| 6 | No linear OOA(2199, 231, F2, 5, 96) (dual of [(231, 5), 956, 97]-NRT-code) | [i] | ||
| 7 | No linear OOA(2199, 231, F2, 6, 96) (dual of [(231, 6), 1187, 97]-NRT-code) | [i] | ||
| 8 | No linear OOA(2199, 231, F2, 7, 96) (dual of [(231, 7), 1418, 97]-NRT-code) | [i] | ||
| 9 | No linear OOA(2199, 231, F2, 8, 96) (dual of [(231, 8), 1649, 97]-NRT-code) | [i] | ||
| 10 | No digital (103, 199, 231)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |