Information on Result #716904
Linear OA(8173, 548, F8, 61) (dual of [548, 375, 62]-code), using construction XX applied to C1 = C([503,51]), C2 = C([0,52]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([503,52]) based on
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,51}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,52}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(8136, 511, F8, 52) (dual of [511, 375, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [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(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.