Information on Result #730896
Linear OA(25661, 781, F256, 35) (dual of [781, 720, 36]-code), using construction XX applied to C1 = C([242,275]), C2 = C([241,272]), C3 = C1 + C2 = C([242,272]), and C∩ = C1 ∩ C2 = C([241,275]) based on
- linear OA(25657, 771, F256, 34) (dual of [771, 714, 35]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,275}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(25653, 771, F256, 32) (dual of [771, 718, 33]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,272}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(25659, 771, F256, 35) (dual of [771, 712, 36]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {241,242,…,275}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(25651, 771, F256, 31) (dual of [771, 720, 32]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {242,243,…,272}, and designed minimum distance d ≥ |I|+1 = 32 [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.