Information on Result #1837650
OOA(12872, 5592659, S128, 3, 14), using discarding parts of the base based on linear OOA(25663, 5592659, F256, 3, 14) (dual of [(5592659, 3), 16777914, 15]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;767,256) [i]
- linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- linear OOA(25640, 2796201, F256, 3, 14) (dual of [(2796201, 3), 8388563, 15]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12873, 5592659, S128, 3, 14) | [i] | OOA Duplication | |