Information on Result #1020110
Linear OOA(25641, 22362, F256, 3, 15) (dual of [(22362, 3), 67045, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25612, 516, F256, 3, 7) (dual of [(516, 3), 1536, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- linear OOA(2568, 258, F256, 3, 7) (dual of [(258, 3), 766, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 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, 8, 258)-net over F256, using
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25629, 21846, F256, 3, 15) (dual of [(21846, 3), 65509, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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]
- 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(14) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-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.