Information on Result #989063
Linear OOA(6420, 87384, F64, 3, 7) (dual of [(87384, 3), 262132, 8]-NRT-code), using OOA 3-folding based on linear OA(6420, 262152, F64, 7) (dual of [262152, 262132, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(6419, 262145, F64, 7) (dual of [262145, 262126, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 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(6473, 2883585, F64, 3, 14) (dual of [(2883585, 3), 8650682, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6477, 2883585, F64, 3, 15) (dual of [(2883585, 3), 8650678, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(6434, 5592576, F64, 3, 7) (dual of [(5592576, 3), 16777694, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |