Information on Result #688070
Linear OA(8142, 524, F8, 53) (dual of [524, 382, 54]-code), using construction X applied to Ce(52) ⊂ Ce(49) based on
- linear OA(8139, 512, F8, 53) (dual of [512, 373, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8130, 512, F8, 50) (dual of [512, 382, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(83, 12, F8, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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.