Information on Result #1204180
Digital (41, 70, 1173)-net over F128, using net defined by OOA based on linear OOA(12870, 1173, F128, 29, 29) (dual of [(1173, 29), 33947, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(12870, 16423, F128, 29) (dual of [16423, 16353, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(12870, 16426, F128, 29) (dual of [16426, 16356, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,7]) [i] based on
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(12813, 41, F128, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,128)), using
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), using
- Reed–Solomon code RS(115,128) [i]
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), using
- construction X applied to C([0,14]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12870, 16426, F128, 29) (dual of [16426, 16356, 30]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.