Information on Result #697102
Linear OA(3250, 1030, F32, 25) (dual of [1030, 980, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(3249, 1025, F32, 25) (dual of [1025, 976, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3245, 1025, F32, 23) (dual of [1025, 980, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(884, 1030, S8, 25) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1663, 1030, S16, 25) | [i] | ||
| 3 | Linear OA(3263, 1074, F32, 25) (dual of [1074, 1011, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3265, 1094, F32, 25) (dual of [1094, 1029, 26]-code) | [i] | ||
| 5 | Linear OA(3267, 1106, F32, 25) (dual of [1106, 1039, 26]-code) | [i] | ||
| 6 | Linear OA(3269, 1128, F32, 25) (dual of [1128, 1059, 26]-code) | [i] | ||
| 7 | Linear OOA(3250, 515, F32, 2, 25) (dual of [(515, 2), 980, 26]-NRT-code) | [i] | OOA Folding | |