Information on Result #715439
Linear OA(882, 547, F8, 27) (dual of [547, 465, 28]-code), using construction XX applied to C1 = C([57,81]), C2 = C([55,74]), C3 = C1 + C2 = C([57,74]), and C∩ = C1 ∩ C2 = C([55,81]) based on
- linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,81}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,74}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,81}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,74}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(811, 29, F8, 6) (dual of [29, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-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.