Information on Result #1228206
Digital (25, 39, 2726)-net over F128, using (u, u+v)-construction based on
- digital (5, 12, 386)-net over F128, using
- net defined by OOA [i] based on linear OOA(12812, 386, F128, 9, 7) (dual of [(386, 9), 3462, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;385,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1287, 129, F128, 3, 7) (dual of [(129, 3), 380, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;380,128) [i]
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(12812, 386, F128, 9, 7) (dual of [(386, 9), 3462, 8]-NRT-code), using
- digital (13, 27, 2340)-net over F128, using
- net defined by OOA [i] based on linear OOA(12827, 2340, F128, 14, 14) (dual of [(2340, 14), 32733, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(12827, 16380, F128, 14) (dual of [16380, 16353, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(12827, 16380, F128, 14) (dual of [16380, 16353, 15]-code), using
- net defined by OOA [i] based on linear OOA(12827, 2340, F128, 14, 14) (dual of [(2340, 14), 32733, 15]-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.