Information on Result #697110
Linear OA(3218, 1030, F32, 9) (dual of [1030, 1012, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- 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(3213, 1025, F32, 7) (dual of [1025, 1012, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(1623, 1030, S16, 9) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3218, 515, F32, 2, 9) (dual of [(515, 2), 1012, 10]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3218, 257, F32, 9, 9) (dual of [(257, 9), 2295, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |