Information on Result #552716
There is no linear OOA(2172, 192, F2, 2, 85) (dual of [(192, 2), 212, 86]-NRT-code), because 1 step m-reduction would yield linear OA(2171, 192, F2, 84) (dual of [192, 21, 85]-code), but
- residual code [i] would yield OA(287, 107, S2, 42), but
- the linear programming bound shows that M ≥ 1155 305065 783002 570789 057883 799552 / 7 380945 > 287 [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(2172, 192, F2, 3, 85) (dual of [(192, 3), 404, 86]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2172, 192, F2, 4, 85) (dual of [(192, 4), 596, 86]-NRT-code) | [i] | ||
| 3 | No linear OOA(2172, 192, F2, 5, 85) (dual of [(192, 5), 788, 86]-NRT-code) | [i] | ||
| 4 | No linear OOA(2172, 192, F2, 6, 85) (dual of [(192, 6), 980, 86]-NRT-code) | [i] | ||
| 5 | No linear OOA(2172, 192, F2, 7, 85) (dual of [(192, 7), 1172, 86]-NRT-code) | [i] | ||
| 6 | No linear OOA(2172, 192, F2, 8, 85) (dual of [(192, 8), 1364, 86]-NRT-code) | [i] | ||