Information on Result #696484
Linear OA(3258, 1048586, F32, 15) (dual of [1048586, 1048528, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) based on
- linear OA(3257, 1048577, F32, 15) (dual of [1048577, 1048520, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3249, 1048577, F32, 13) (dual of [1048577, 1048528, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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 | Linear OA(3266, 1048630, F32, 15) (dual of [1048630, 1048564, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3269, 1048681, F32, 15) (dual of [1048681, 1048612, 16]-code) | [i] | ||
| 3 | Linear OOA(3258, 727017, F32, 2, 15) (dual of [(727017, 2), 1453976, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (43, 58, 727017)-net over F32 | [i] | ||
| 5 | Linear OOA(3258, 524293, F32, 2, 15) (dual of [(524293, 2), 1048528, 16]-NRT-code) | [i] | OOA Folding | |