Information on Result #618296
Linear OA(3252, 57, F32, 32) (dual of [57, 5, 33]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
- linear OA(3251, 55, F32, 32) (dual of [55, 4, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 55 | 324−1, defining interval I = [0,28], and minimum distance d ≥ |{−3,−2,…,28}|+1 = 33 (BCH-bound) [i]
- linear OA(3250, 55, F32, 30) (dual of [55, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 55 | 324−1, defining interval I = [1,28], and minimum distance d ≥ |{−14,−10,−6,…,−8}|+1 = 31 (BCH-bound) [i]
- linear OA(321, 2, F32, 1) (dual of [2, 1, 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
None.