Information on Result #874401
Linear OOA(6470, 131073, F64, 2, 24) (dual of [(131073, 2), 262076, 25]-NRT-code), using OOA 2-folding based on linear OA(6470, 262146, F64, 24) (dual of [262146, 262076, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
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(6482, 131138, F64, 2, 24) (dual of [(131138, 2), 262194, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6483, 131153, F64, 2, 24) (dual of [(131153, 2), 262223, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(6485, 131177, F64, 2, 24) (dual of [(131177, 2), 262269, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(6487, 131201, F64, 2, 24) (dual of [(131201, 2), 262315, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(6488, 131203, F64, 2, 24) (dual of [(131203, 2), 262318, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(6489, 131250, F64, 2, 24) (dual of [(131250, 2), 262411, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(6470, 97206, F64, 3, 24) (dual of [(97206, 3), 291548, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (46, 70, 97206)-net over F64 | [i] | ||