Information on Result #989666
Linear OOA(6447, 1366, F64, 3, 24) (dual of [(1366, 3), 4051, 25]-NRT-code), using OOA 3-folding based on linear OA(6447, 4098, F64, 24) (dual of [4098, 4051, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-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(6459, 1431, F64, 3, 24) (dual of [(1431, 3), 4234, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6460, 1446, F64, 3, 24) (dual of [(1446, 3), 4278, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(6462, 1470, F64, 3, 24) (dual of [(1470, 3), 4348, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(6464, 1494, F64, 3, 24) (dual of [(1494, 3), 4418, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(6465, 1496, F64, 3, 24) (dual of [(1496, 3), 4423, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(6466, 1543, F64, 3, 24) (dual of [(1543, 3), 4563, 25]-NRT-code) | [i] | ||
| 7 | Digital (23, 47, 1231)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |