Information on Result #697109
Linear OA(3222, 1030, F32, 11) (dual of [1030, 1008, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(3221, 1025, F32, 11) (dual of [1025, 1004, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(1628, 1030, S16, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3229, 2023, F32, 11) (dual of [2023, 1994, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3224, 1040, F32, 11) (dual of [1040, 1016, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(3225, 1084, F32, 11) (dual of [1084, 1059, 12]-code) | [i] | ||
| 5 | Linear OOA(3222, 515, F32, 2, 11) (dual of [(515, 2), 1008, 12]-NRT-code) | [i] | OOA Folding | |