Information on Result #716760
Linear OA(8160, 547, F8, 56) (dual of [547, 387, 57]-code), using construction XX applied to C1 = C([503,46]), C2 = C([0,48]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([503,48]) based on
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,46}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,48}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(811, 32, F8, 6) (dual of [32, 21, 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, 4, F8, 1) (dual of [4, 3, 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.