Information on Result #989886
Linear OOA(6456, 1367, F64, 3, 28) (dual of [(1367, 3), 4045, 29]-NRT-code), using OOA 3-folding based on linear OA(6456, 4101, F64, 28) (dual of [4101, 4045, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 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
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(6471, 1447, F64, 3, 28) (dual of [(1447, 3), 4270, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6473, 1471, F64, 3, 28) (dual of [(1471, 3), 4340, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(6475, 1495, F64, 3, 28) (dual of [(1495, 3), 4410, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(6477, 1544, F64, 3, 28) (dual of [(1544, 3), 4555, 29]-NRT-code) | [i] | ||
| 5 | Digital (28, 56, 1367)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |