Information on Result #730907
Linear OA(25666, 781, F256, 38) (dual of [781, 715, 39]-code), using construction XX applied to C1 = C([112,148]), C2 = C([111,145]), C3 = C1 + C2 = C([112,145]), and C∩ = C1 ∩ C2 = C([111,148]) based on
- linear OA(25662, 771, F256, 37) (dual of [771, 709, 38]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {112,113,…,148}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(25658, 771, F256, 35) (dual of [771, 713, 36]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {111,112,…,145}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(25664, 771, F256, 38) (dual of [771, 707, 39]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {111,112,…,148}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(25656, 771, F256, 34) (dual of [771, 715, 35]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {112,113,…,145}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 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.