Information on Result #552951
There is no linear OOA(2180, 200, F2, 2, 89) (dual of [(200, 2), 220, 90]-NRT-code), because 1 step m-reduction would yield linear OA(2179, 200, F2, 88) (dual of [200, 21, 89]-code), but
- residual code [i] would yield OA(291, 111, S2, 44), but
- the linear programming bound shows that M ≥ 4098 314390 537865 655038 841462 980608 / 1 584999 > 291 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2180, 200, F2, 3, 89) (dual of [(200, 3), 420, 90]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2180, 200, F2, 4, 89) (dual of [(200, 4), 620, 90]-NRT-code) | [i] | ||
| 3 | No linear OOA(2180, 200, F2, 5, 89) (dual of [(200, 5), 820, 90]-NRT-code) | [i] | ||
| 4 | No linear OOA(2180, 200, F2, 6, 89) (dual of [(200, 6), 1020, 90]-NRT-code) | [i] | ||
| 5 | No linear OOA(2180, 200, F2, 7, 89) (dual of [(200, 7), 1220, 90]-NRT-code) | [i] | ||
| 6 | No linear OOA(2180, 200, F2, 8, 89) (dual of [(200, 8), 1420, 90]-NRT-code) | [i] | ||