Information on Result #687775
Linear OA(8148, 552, F8, 51) (dual of [552, 404, 52]-code), using construction X applied to C([0,25]) ⊂ C([0,20]) based on
- linear OA(8133, 513, F8, 51) (dual of [513, 380, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(8109, 513, F8, 41) (dual of [513, 404, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(815, 39, F8, 9) (dual of [39, 24, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-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.