Information on Result #1833640
OOA(12853, 4194815, S128, 2, 13), using discarding parts of the base based on linear OOA(25646, 4194815, F256, 2, 13) (dual of [(4194815, 2), 8389584, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2569, 514, F256, 2, 6) (dual of [(514, 2), 1019, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 2, 3) (dual of [(257, 2), 511, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;511,256) [i]
- linear OOA(2566, 257, F256, 2, 6) (dual of [(257, 2), 508, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;508,256) [i]
- linear OOA(2563, 257, F256, 2, 3) (dual of [(257, 2), 511, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(2569, 514, F256, 2, 6) (dual of [(514, 2), 1019, 7]-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(12853, 2097407, S128, 4, 13) | [i] | OOA Folding | |