Information on Result #687827
Linear OA(8135, 569, F8, 42) (dual of [569, 434, 43]-code), using construction X applied to C([0,21]) ⊂ C([0,14]) based on
- linear OA(8115, 513, F8, 43) (dual of [513, 398, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(820, 56, F8, 12) (dual of [56, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-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.