Information on Result #2174735
There is no linear OA(291, 96, F2, 48) (dual of [96, 5, 49]-code), because 1 times code embedding in larger space would yield linear OA(292, 97, F2, 48) (dual of [97, 5, 49]-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(291, 96, F2, 2, 48) (dual of [(96, 2), 101, 49]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(291, 96, F2, 3, 48) (dual of [(96, 3), 197, 49]-NRT-code) | [i] | ||
| 3 | No linear OOA(291, 96, F2, 4, 48) (dual of [(96, 4), 293, 49]-NRT-code) | [i] | ||
| 4 | No linear OOA(291, 96, F2, 5, 48) (dual of [(96, 5), 389, 49]-NRT-code) | [i] | ||
| 5 | No linear OOA(291, 96, F2, 6, 48) (dual of [(96, 6), 485, 49]-NRT-code) | [i] | ||
| 6 | No linear OOA(291, 96, F2, 7, 48) (dual of [(96, 7), 581, 49]-NRT-code) | [i] | ||
| 7 | No linear OOA(291, 96, F2, 8, 48) (dual of [(96, 8), 677, 49]-NRT-code) | [i] | ||