Information on Result #901801
Linear OOA(3218, 1030, F32, 2, 7) (dual of [(1030, 2), 2042, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
- linear OOA(3214, 515, F32, 2, 7) (dual of [(515, 2), 1016, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3214, 1030, F32, 7) (dual of [1030, 1016, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(3213, 1025, F32, 7) (dual of [1025, 1012, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(329, 1025, F32, 5) (dual of [1025, 1016, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- OOA 2-folding [i] based on linear OA(3214, 1030, F32, 7) (dual of [1030, 1016, 8]-code), 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(3284, 4195331, F32, 2, 14) (dual of [(4195331, 2), 8390578, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3289, 4195331, F32, 2, 15) (dual of [(4195331, 2), 8390573, 16]-NRT-code) | [i] | ||