Information on Result #687742
Linear OA(8110, 544, F8, 37) (dual of [544, 434, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,14]) based on
- linear OA(897, 513, F8, 37) (dual of [513, 416, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(879, 513, F8, 29) (dual of [513, 434, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(813, 31, F8, 7) (dual of [31, 18, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), 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.