Information on Result #1119672
Linear OOA(25665, 13879, F256, 5, 23) (dual of [(13879, 5), 69330, 24]-NRT-code), using (u, u+v)-construction 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
- linear OOA(25645, 13107, F256, 5, 23) (dual of [(13107, 5), 65490, 24]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25645, 65535, F256, 23) (dual of [65535, 65490, 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 5-folding [i] based on linear OA(25645, 65535, F256, 23) (dual of [65535, 65490, 24]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.