Information on Result #716440
Linear OA(8145, 553, F8, 50) (dual of [553, 408, 51]-code), using construction XX applied to C1 = C([503,38]), C2 = C([0,41]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([503,41]) based on
- linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,38}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,41}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [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(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
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.