Information on Result #716799
Linear OA(8142, 527, F8, 53) (dual of [527, 385, 54]-code), using construction XX applied to C1 = C([509,48]), C2 = C([1,50]), C3 = C1 + C2 = C([1,48]), and C∩ = C1 ∩ C2 = C([509,50]) based on
- linear OA(8133, 511, F8, 51) (dual of [511, 378, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,48}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8132, 511, F8, 50) (dual of [511, 379, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,50}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8126, 511, F8, 48) (dual of [511, 385, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- 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.