Information on Result #873916
Linear OOA(6440, 131073, F64, 2, 14) (dual of [(131073, 2), 262106, 15]-NRT-code), using OOA 2-folding based on linear OA(6440, 262146, F64, 14) (dual of [262146, 262106, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6440, 262147, F64, 14) (dual of [262147, 262107, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [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(6447, 131138, F64, 2, 14) (dual of [(131138, 2), 262229, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6448, 131153, F64, 2, 14) (dual of [(131153, 2), 262258, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(6450, 131203, F64, 2, 14) (dual of [(131203, 2), 262356, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(6451, 131218, F64, 2, 14) (dual of [(131218, 2), 262385, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(6452, 131233, F64, 2, 14) (dual of [(131233, 2), 262414, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(6452, 131268, F64, 2, 14) (dual of [(131268, 2), 262484, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(6440, 131073, F64, 3, 14) (dual of [(131073, 3), 393179, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (26, 40, 131073)-net over F64 | [i] | ||