Information on Result #1228843
Digital (25, 39, 10133)-net over F256, using (u, u+v)-construction based on
- digital (5, 12, 771)-net over F256, using
- net defined by OOA [i] based on linear OOA(25612, 771, F256, 7, 7) (dual of [(771, 7), 5385, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25612, 771, F256, 6, 7) (dual of [(771, 6), 4614, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 6, 2) (dual of [(257, 6), 1540, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1540,256) [i]
- linear OOA(2563, 257, F256, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1539,256) [i]
- linear OOA(2567, 257, F256, 6, 7) (dual of [(257, 6), 1535, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1535,256) [i]
- linear OOA(2562, 257, F256, 6, 2) (dual of [(257, 6), 1540, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(25612, 771, F256, 6, 7) (dual of [(771, 6), 4614, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(25612, 771, F256, 7, 7) (dual of [(771, 7), 5385, 8]-NRT-code), using
- digital (13, 27, 9362)-net over F256, using
- net defined by OOA [i] based on linear OOA(25627, 9362, F256, 14, 14) (dual of [(9362, 14), 131041, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(25627, 65534, F256, 14) (dual of [65534, 65507, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(25627, 65534, F256, 14) (dual of [65534, 65507, 15]-code), using
- net defined by OOA [i] based on linear OOA(25627, 9362, F256, 14, 14) (dual of [(9362, 14), 131041, 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.