Information on Result #720070
Linear OA(985, 743, F9, 31) (dual of [743, 658, 32]-code), using construction XX applied to C1 = C([63,91]), C2 = C([66,93]), C3 = C1 + C2 = C([66,91]), and C∩ = C1 ∩ C2 = C([63,93]) based on
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,91}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(976, 728, F9, 28) (dual of [728, 652, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,93}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,91}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 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.