Information on Result #555011
There is no linear OOA(2253, 256, F2, 2, 131) (dual of [(256, 2), 259, 132]-NRT-code), because 3 step m-reduction would yield linear OA(2250, 256, F2, 128) (dual of [256, 6, 129]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2251, 257, F2, 128) (dual of [257, 6, 129]-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(2253, 256, F2, 3, 131) (dual of [(256, 3), 515, 132]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2253, 256, F2, 4, 131) (dual of [(256, 4), 771, 132]-NRT-code) | [i] | ||
| 3 | No linear OOA(2253, 256, F2, 5, 131) (dual of [(256, 5), 1027, 132]-NRT-code) | [i] | ||
| 4 | No linear OOA(2253, 256, F2, 6, 131) (dual of [(256, 6), 1283, 132]-NRT-code) | [i] | ||
| 5 | No linear OOA(2253, 256, F2, 7, 131) (dual of [(256, 7), 1539, 132]-NRT-code) | [i] | ||
| 6 | No linear OOA(2253, 256, F2, 8, 131) (dual of [(256, 8), 1795, 132]-NRT-code) | [i] | ||