Information on Result #688433
Linear OA(8153, 565, F8, 51) (dual of [565, 412, 52]-code), using construction X applied to Ce(50) ⊂ Ce(37) based on
- linear OA(8133, 512, F8, 51) (dual of [512, 379, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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(820, 53, F8, 12) (dual of [53, 33, 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.