Information on Result #697105
Linear OA(3238, 1030, F32, 19) (dual of [1030, 992, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,8]) based on
- linear OA(3237, 1025, F32, 19) (dual of [1025, 988, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3233, 1025, F32, 17) (dual of [1025, 992, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(864, 1030, S8, 19) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1648, 1030, S16, 19) | [i] | ||
| 3 | Linear OA(3248, 1074, F32, 19) (dual of [1074, 1026, 20]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3250, 1094, F32, 19) (dual of [1094, 1044, 20]-code) | [i] | ||
| 5 | Linear OA(3253, 1127, F32, 19) (dual of [1127, 1074, 20]-code) | [i] | ||
| 6 | Linear OA(3242, 1053, F32, 19) (dual of [1053, 1011, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3243, 1099, F32, 19) (dual of [1099, 1056, 20]-code) | [i] | ||
| 8 | Linear OOA(3238, 515, F32, 2, 19) (dual of [(515, 2), 992, 20]-NRT-code) | [i] | OOA Folding | |