Information on Result #1118876
Linear OOA(25663, 1678490, F256, 5, 17) (dual of [(1678490, 5), 8392387, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25614, 770, F256, 5, 8) (dual of [(770, 5), 3836, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25614, 771, F256, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1026,256) [i]
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1024,256) [i]
- linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1020,256) [i]
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25614, 771, F256, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
- linear OOA(25649, 1677720, F256, 5, 17) (dual of [(1677720, 5), 8388551, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 5-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-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.