Information on Result #2174835
There is no linear OA(2249, 255, F2, 128) (dual of [255, 6, 129]-code), because 2 times code embedding in larger space 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2249, 255, F2, 2, 128) (dual of [(255, 2), 261, 129]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2249, 255, F2, 3, 128) (dual of [(255, 3), 516, 129]-NRT-code) | [i] | ||
| 3 | No linear OOA(2249, 255, F2, 4, 128) (dual of [(255, 4), 771, 129]-NRT-code) | [i] | ||
| 4 | No linear OOA(2249, 255, F2, 5, 128) (dual of [(255, 5), 1026, 129]-NRT-code) | [i] | ||
| 5 | No linear OOA(2249, 255, F2, 6, 128) (dual of [(255, 6), 1281, 129]-NRT-code) | [i] | ||
| 6 | No linear OOA(2249, 255, F2, 7, 128) (dual of [(255, 7), 1536, 129]-NRT-code) | [i] | ||
| 7 | No linear OOA(2249, 255, F2, 8, 128) (dual of [(255, 8), 1791, 129]-NRT-code) | [i] | ||