Information on Result #716721
Linear OA(8162, 552, F8, 56) (dual of [552, 390, 57]-code), using construction XX applied to C1 = C([29,82]), C2 = C([27,74]), C3 = C1 + C2 = C([29,74]), and C∩ = C1 ∩ C2 = C([27,82]) based on
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,82}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,74}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8148, 511, F8, 56) (dual of [511, 363, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,82}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,74}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(813, 34, F8, 7) (dual of [34, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.