Information on Result #1833691
OOA(12878, 4194815, S128, 2, 19), using discarding parts of the base based on linear OOA(25668, 4194815, F256, 2, 19) (dual of [(4194815, 2), 8389562, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25613, 514, F256, 2, 9) (dual of [(514, 2), 1015, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;510,256) [i]
- linear OOA(2569, 257, F256, 2, 9) (dual of [(257, 2), 505, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;505,256) [i]
- linear OOA(2564, 257, F256, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- linear OOA(25613, 514, F256, 2, 9) (dual of [(514, 2), 1015, 10]-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(12878, 2097407, S128, 4, 19) | [i] | OOA Folding | |