Information on Result #1229061
Digital (42, 65, 6728)-net over F256, using (u, u+v)-construction based on
- digital (9, 20, 771)-net over F256, using
- net defined by OOA [i] based on linear OOA(25620, 771, F256, 15, 11) (dual of [(771, 15), 11545, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25620, 772, F256, 5, 11) (dual of [(772, 5), 3840, 12]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1282,256) [i]
- linear OOA(2565, 257, F256, 5, 5) (dual of [(257, 5), 1280, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1280,256) [i]
- linear OOA(25612, 258, F256, 5, 11) (dual of [(258, 5), 1278, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 12, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 12, 258)-net over F256, using
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25620, 772, F256, 5, 11) (dual of [(772, 5), 3840, 12]-NRT-code), using
- net defined by OOA [i] based on linear OOA(25620, 771, F256, 15, 11) (dual of [(771, 15), 11545, 12]-NRT-code), using
- digital (22, 45, 5957)-net over F256, using
- net defined by OOA [i] based on linear OOA(25645, 5957, F256, 23, 23) (dual of [(5957, 23), 136966, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(25645, 65528, F256, 23) (dual of [65528, 65483, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(25645, 65528, F256, 23) (dual of [65528, 65483, 24]-code), using
- net defined by OOA [i] based on linear OOA(25645, 5957, F256, 23, 23) (dual of [(5957, 23), 136966, 24]-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.