Information on Result #1837875
OOA(12861, 4194301, S128, 4, 13), using OOA 2-folding based on OOA(12861, 8388602, S128, 2, 13), using
- discarding parts of the base [i] based on linear OOA(25653, 8388602, F256, 2, 13) (dual of [(8388602, 2), 16777151, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- linear OOA(25637, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 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 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-code), using
- linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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(12862, 4194301, S128, 4, 13) | [i] | OOA Duplication | |
| 2 | OOA(12867, 4194430, S128, 4, 13) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | OOA(12872, 4199763, S128, 4, 13) | [i] | ||
| 4 | OOA(12877, 4893352, S128, 4, 13) | [i] | ||