Information on Result #552889
There is no linear OOA(2178, 206, F2, 2, 86) (dual of [(206, 2), 234, 87]-NRT-code), because 2 step m-reduction would yield linear OA(2176, 206, F2, 84) (dual of [206, 30, 85]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2179, 209, F2, 84) (dual of [209, 30, 85]-code), but
- adding a parity check bit [i] would yield linear OA(2180, 210, F2, 85) (dual of [210, 30, 86]-code), but
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(2178, 206, F2, 3, 86) (dual of [(206, 3), 440, 87]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2178, 206, F2, 4, 86) (dual of [(206, 4), 646, 87]-NRT-code) | [i] | ||
| 3 | No linear OOA(2178, 206, F2, 5, 86) (dual of [(206, 5), 852, 87]-NRT-code) | [i] | ||
| 4 | No linear OOA(2178, 206, F2, 6, 86) (dual of [(206, 6), 1058, 87]-NRT-code) | [i] | ||
| 5 | No linear OOA(2178, 206, F2, 7, 86) (dual of [(206, 7), 1264, 87]-NRT-code) | [i] | ||
| 6 | No linear OOA(2178, 206, F2, 8, 86) (dual of [(206, 8), 1470, 87]-NRT-code) | [i] | ||