Information on Result #552466
There is no linear OOA(2163, 180, F2, 2, 81) (dual of [(180, 2), 197, 82]-NRT-code), because 1 step m-reduction would yield linear OA(2162, 180, F2, 80) (dual of [180, 18, 81]-code), but
- residual code [i] would yield OA(282, 99, S2, 40), but
- the linear programming bound shows that M ≥ 9903 520314 283042 199192 993792 / 1885 > 282 [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(2163, 180, F2, 3, 81) (dual of [(180, 3), 377, 82]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2163, 180, F2, 4, 81) (dual of [(180, 4), 557, 82]-NRT-code) | [i] | ||
| 3 | No linear OOA(2163, 180, F2, 5, 81) (dual of [(180, 5), 737, 82]-NRT-code) | [i] | ||
| 4 | No linear OOA(2163, 180, F2, 6, 81) (dual of [(180, 6), 917, 82]-NRT-code) | [i] | ||
| 5 | No linear OOA(2163, 180, F2, 7, 81) (dual of [(180, 7), 1097, 82]-NRT-code) | [i] | ||
| 6 | No linear OOA(2163, 180, F2, 8, 81) (dual of [(180, 8), 1277, 82]-NRT-code) | [i] | ||