Information on Result #1118770
Linear OOA(25658, 3355442, F256, 5, 13) (dual of [(3355442, 5), 16777152, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25616, 2796201, F256, 5, 6) (dual of [(2796201, 5), 13980989, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(25642, 1677721, F256, 5, 13) (dual of [(1677721, 5), 8388563, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25637, 1677720, F256, 5, 13) (dual of [(1677720, 5), 8388563, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 5-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25637, 1677720, F256, 5, 13) (dual of [(1677720, 5), 8388563, 14]-NRT-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.