Information on Result #548057
There is no linear OA(3264, 130, F32, 62) (dual of [130, 66, 63]-code), because construction Y1 would yield
- linear OA(3263, 66, F32, 62) (dual of [66, 3, 63]-code), but
- linear OA(3266, 130, F32, 64) (dual of [130, 64, 65]-code), but
- discarding factors / shortening the dual code would yield linear OA(3266, 99, F32, 64) (dual of [99, 33, 65]-code), but
- residual code [i] would yield OA(322, 34, S32, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 1055 > 322 [i]
- residual code [i] would yield OA(322, 34, S32, 2), but
- discarding factors / shortening the dual code would yield linear OA(3266, 99, F32, 64) (dual of [99, 33, 65]-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 OA(3265, 131, F32, 63) (dual of [131, 66, 64]-code) | [i] | Truncation | |
| 2 | No linear OOA(3265, 130, F32, 2, 63) (dual of [(130, 2), 195, 64]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(3264, 130, F32, 2, 62) (dual of [(130, 2), 196, 63]-NRT-code) | [i] | Depth Reduction | |
| 4 | No digital (2, 64, 130)-net over F32 | [i] | Extracting Embedded Orthogonal Array | |