Information on Result #669440
Linear OA(6412, 16132, F64, 5) (dual of [16132, 16120, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(641, 4033, F64, 1) (dual of [4033, 4032, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(641, 4033, F64, 1) (dual of [4033, 4032, 2]-code) (see above)
- 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 OOA(6412, 16132, F64, 2, 5) (dual of [(16132, 2), 32252, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6412, 16132, F64, 3, 5) (dual of [(16132, 3), 48384, 6]-NRT-code) | [i] | ||
| 3 | Digital (7, 12, 16132)-net over F64 | [i] | ||
| 4 | Linear OOA(6412, 8066, F64, 2, 5) (dual of [(8066, 2), 16120, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6412, 8065, F64, 3, 5) (dual of [(8065, 3), 24183, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(6412, 8065, F64, 5, 5) (dual of [(8065, 5), 40313, 6]-NRT-code) | [i] | ||