Information on Result #688140
Linear OA(819, 524, F8, 6) (dual of [524, 505, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(816, 512, F8, 6) (dual of [512, 496, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(87, 512, F8, 3) (dual of [512, 505, 4]-code or 512-cap in PG(6,8)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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.