Information on Result #669608
Linear OA(6411, 12099, F64, 5) (dual of [12099, 12088, 6]-code), using (u, u−v, u+v+w)-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(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(6411, 12099, F64, 2, 5) (dual of [(12099, 2), 24187, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6411, 12099, F64, 3, 5) (dual of [(12099, 3), 36286, 6]-NRT-code) | [i] | ||
| 3 | Digital (6, 11, 12099)-net over F64 | [i] | ||
| 4 | Linear OOA(6411, 6049, F64, 2, 5) (dual of [(6049, 2), 12087, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6411, 6049, F64, 3, 5) (dual of [(6049, 3), 18136, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(6411, 6049, F64, 5, 5) (dual of [(6049, 5), 30234, 6]-NRT-code) | [i] | ||