Information on Result #1083861
Linear OOA(25652, 2097920, F256, 4, 14) (dual of [(2097920, 4), 8391628, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25612, 770, F256, 4, 7) (dual of [(770, 4), 3068, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25612, 771, F256, 3, 7) (dual of [(771, 3), 2301, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;769,256) [i]
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(2567, 257, F256, 3, 7) (dual of [(257, 3), 764, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;764,256) [i]
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25612, 771, F256, 3, 7) (dual of [(771, 3), 2301, 8]-NRT-code), using
- linear OOA(25640, 2097150, F256, 4, 14) (dual of [(2097150, 4), 8388560, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25640, 8388600, F256, 14) (dual of [8388600, 8388560, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- OOA 4-folding [i] based on linear OA(25640, 8388600, F256, 14) (dual of [8388600, 8388560, 15]-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.