Information on Result #720623
Linear OA(9109, 743, F9, 40) (dual of [743, 634, 41]-code), using construction XX applied to C1 = C([54,91]), C2 = C([57,93]), C3 = C1 + C2 = C([57,91]), and C∩ = C1 ∩ C2 = C([54,93]) based on
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,91}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9100, 728, F9, 37) (dual of [728, 628, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,93}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,91}, and designed minimum distance d ≥ |I|+1 = 36 [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.