Information on Result #1228088
Digital (36, 46, 1685977)-net over F128, using (u, u+v)-construction based on
- digital (4, 9, 8257)-net over F128, using
- net defined by OOA [i] based on linear OOA(1289, 8257, F128, 5, 5) (dual of [(8257, 5), 41276, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(1289, 8257, F128, 4, 5) (dual of [(8257, 4), 33019, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;514,128) [i]
- linear OOA(1287, 8128, F128, 4, 5) (dual of [(8128, 4), 32505, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(1289, 8257, F128, 4, 5) (dual of [(8257, 4), 33019, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1289, 8257, F128, 5, 5) (dual of [(8257, 5), 41276, 6]-NRT-code), using
- digital (27, 37, 1677720)-net over F128, using
- net defined by OOA [i] based on linear OOA(12837, 1677720, F128, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(12837, 8388600, F128, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(12837, 8388600, F128, 10) (dual of [8388600, 8388563, 11]-code), using
- net defined by OOA [i] based on linear OOA(12837, 1677720, F128, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-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.