Information on Result #730753
Linear OA(25663, 780, F256, 36) (dual of [780, 717, 37]-code), using construction X applied to C([110,145]) ⊂ C([114,145]) based on
- linear OA(25660, 771, F256, 36) (dual of [771, 711, 37]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {110,111,…,145}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(25654, 771, F256, 32) (dual of [771, 717, 33]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {114,115,…,145}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2563, 9, F256, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,256) or 9-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), 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.