Information on Result #1839150
OOA(12877, 6356987, S128, 4, 13), using discarding parts of the base based on linear OOA(25667, 6356987, F256, 4, 13) (dual of [(6356987, 4), 25427881, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2564, 65537, F256, 4, 3) (dual of [(65537, 4), 262144, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- linear OOA(25610, 2097150, F256, 4, 4) (dual of [(2097150, 4), 8388590, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code), using
- linear OOA(25616, 2097150, F256, 4, 6) (dual of [(2097150, 4), 8388584, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25616, 2796201, F256, 4, 6) (dual of [(2796201, 4), 11184788, 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
- discarding factors / shortening the dual code based on linear OOA(25616, 2796201, F256, 4, 6) (dual of [(2796201, 4), 11184788, 7]-NRT-code), using
- linear OOA(25637, 2097150, F256, 4, 13) (dual of [(2097150, 4), 8388563, 14]-NRT-code), using
- OOA 4-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 4-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- linear OOA(2564, 65537, F256, 4, 3) (dual of [(65537, 4), 262144, 4]-NRT-code), using
Mode: Constructive.
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.