Information on Result #2282171
Linear OA(8159, 571, F8, 52) (dual of [571, 412, 53]-code), using 1 times code embedding in larger space based on linear OA(8158, 570, F8, 52) (dual of [570, 412, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(37) [i] based on
- linear OA(8136, 512, F8, 52) (dual of [512, 376, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8100, 512, F8, 38) (dual of [512, 412, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(822, 58, F8, 13) (dual of [58, 36, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-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.