Information on Result #730866
Linear OA(25651, 781, F256, 29) (dual of [781, 730, 30]-code), using construction XX applied to C1 = C([245,272]), C2 = C([244,269]), C3 = C1 + C2 = C([245,269]), and C∩ = C1 ∩ C2 = C([244,272]) based on
- linear OA(25647, 771, F256, 28) (dual of [771, 724, 29]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {245,246,…,272}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25643, 771, F256, 26) (dual of [771, 728, 27]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {244,245,…,269}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25649, 771, F256, 29) (dual of [771, 722, 30]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {244,245,…,272}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(25641, 771, F256, 25) (dual of [771, 730, 26]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {245,246,…,269}, and designed minimum distance d ≥ |I|+1 = 26 [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.