Information on Result #697107
Linear OA(3230, 1030, F32, 15) (dual of [1030, 1000, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) based on
- linear OA(3229, 1025, F32, 15) (dual of [1025, 996, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3225, 1025, F32, 13) (dual of [1025, 1000, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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
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 | OA(850, 1030, S8, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1638, 1030, S16, 15) | [i] | ||
| 3 | Linear OA(3238, 1074, F32, 15) (dual of [1074, 1036, 16]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OOA(3230, 515, F32, 2, 15) (dual of [(515, 2), 1000, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3230, 147, F32, 15, 15) (dual of [(147, 15), 2175, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |