Information on Result #2174737
There is no linear OA(2129, 152, F2, 62) (dual of [152, 23, 63]-code), because 1 times code embedding in larger space would yield linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-code), but
- adding a parity check bit [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-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(2130, 152, F2, 2, 63) (dual of [(152, 2), 174, 64]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2129, 152, F2, 2, 62) (dual of [(152, 2), 175, 63]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2129, 152, F2, 3, 62) (dual of [(152, 3), 327, 63]-NRT-code) | [i] | ||
| 4 | No linear OOA(2129, 152, F2, 4, 62) (dual of [(152, 4), 479, 63]-NRT-code) | [i] | ||
| 5 | No linear OOA(2129, 152, F2, 5, 62) (dual of [(152, 5), 631, 63]-NRT-code) | [i] | ||
| 6 | No linear OOA(2129, 152, F2, 6, 62) (dual of [(152, 6), 783, 63]-NRT-code) | [i] | ||
| 7 | No linear OOA(2129, 152, F2, 7, 62) (dual of [(152, 7), 935, 63]-NRT-code) | [i] | ||
| 8 | No linear OOA(2129, 152, F2, 8, 62) (dual of [(152, 8), 1087, 63]-NRT-code) | [i] | ||
| 9 | No digital (67, 129, 152)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(2253, 277, F2, 124) (dual of [277, 24, 125]-code) | [i] | Residual Code | |