Information on Result #1119635
Linear OOA(25663, 3355697, F256, 5, 14) (dual of [(3355697, 5), 16778422, 15]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(2564, 257, F256, 5, 4) (dual of [(257, 5), 1281, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1281,256) [i]
- linear OOA(25619, 1677720, F256, 5, 7) (dual of [(1677720, 5), 8388581, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25619, 2796200, F256, 5, 7) (dual of [(2796200, 5), 13980981, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(25619, 2796200, F256, 5, 7) (dual of [(2796200, 5), 13980981, 8]-NRT-code), using
- linear OOA(25640, 1677720, F256, 5, 14) (dual of [(1677720, 5), 8388560, 15]-NRT-code), using
- OOA 5-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 5-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.