Information on Result #698000
Linear OA(3254, 210, F32, 29) (dual of [210, 156, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,13]) based on
- linear OA(3253, 205, F32, 29) (dual of [205, 152, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3249, 205, F32, 27) (dual of [205, 156, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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 | Linear OOA(3254, 105, F32, 2, 29) (dual of [(105, 2), 156, 30]-NRT-code) | [i] | OOA Folding | |