Information on Result #546426
There is no linear OA(2196, 218, F2, 96) (dual of [218, 22, 97]-code), because residual code would yield OA(2100, 121, S2, 48), but
- the linear programming bound shows that M ≥ 59 423241 397501 834794 717265 239759 388672 / 45 664125 > 2100 [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(2197, 219, F2, 97) (dual of [219, 22, 98]-code) | [i] | Truncation | |
| 2 | No linear OOA(2196, 218, F2, 2, 96) (dual of [(218, 2), 240, 97]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2196, 218, F2, 3, 96) (dual of [(218, 3), 458, 97]-NRT-code) | [i] | ||
| 4 | No linear OOA(2196, 218, F2, 4, 96) (dual of [(218, 4), 676, 97]-NRT-code) | [i] | ||
| 5 | No linear OOA(2196, 218, F2, 5, 96) (dual of [(218, 5), 894, 97]-NRT-code) | [i] | ||
| 6 | No linear OOA(2196, 218, F2, 6, 96) (dual of [(218, 6), 1112, 97]-NRT-code) | [i] | ||
| 7 | No linear OOA(2196, 218, F2, 7, 96) (dual of [(218, 7), 1330, 97]-NRT-code) | [i] | ||
| 8 | No linear OOA(2196, 218, F2, 8, 96) (dual of [(218, 8), 1548, 97]-NRT-code) | [i] | ||