Information on Result #670024
Linear OA(6410, 8066, F64, 5) (dual of [8066, 8056, 6]-code), using (u, u+v)-construction based on
- linear OA(643, 4033, F64, 2) (dual of [4033, 4030, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(643, 4161, F64, 2) (dual of [4161, 4158, 3]-code), using
- Hamming code H(3,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 4161, F64, 2) (dual of [4161, 4158, 3]-code), using
- linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
Mode: Constructive and 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 | Linear OA(649, 8065, F64, 4) (dual of [8065, 8056, 5]-code) | [i] | Truncation | |
| 2 | OA(3212, 8066, S32, 5) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6416, 270209, F64, 5) (dual of [270209, 270193, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OOA(6410, 7561, F64, 2, 5) (dual of [(7561, 2), 15112, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(6410, 7561, F64, 3, 5) (dual of [(7561, 3), 22673, 6]-NRT-code) | [i] | ||
| 6 | Digital (5, 10, 7561)-net over F64 | [i] | ||
| 7 | Linear OOA(6410, 4033, F64, 2, 5) (dual of [(4033, 2), 8056, 6]-NRT-code) | [i] | OOA Folding | |