Information on Result #1118820
Linear OOA(25654, 1678235, F256, 5, 15) (dual of [(1678235, 5), 8391121, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 515, F256, 5, 7) (dual of [(515, 5), 2564, 8]-NRT-code), using
- (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(2568, 258, F256, 5, 7) (dual of [(258, 5), 1282, 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(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25643, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388557, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 5-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-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.
Other Results with Identical Parameters
None.
Depending Results
None.