Information on Result #1145682
Linear OOA(25665, 11695, F256, 6, 23) (dual of [(11695, 6), 70105, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25620, 772, F256, 6, 11) (dual of [(772, 6), 4612, 12]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- 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(2565, 257, F256, 6, 5) (dual of [(257, 6), 1537, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1537,256) [i]
- linear OOA(25612, 258, F256, 6, 11) (dual of [(258, 6), 1536, 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, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25645, 10923, F256, 6, 23) (dual of [(10923, 6), 65493, 24]-NRT-code), using
- OOA 6-folding [i] based on linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] 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]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- OOA 6-folding [i] based on linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 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.