Information on Result #1833686
OOA(12875, 4194815, S128, 2, 18), using discarding parts of the base based on linear OOA(25665, 4194815, F256, 2, 18) (dual of [(4194815, 2), 8389565, 19]-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(25652, 4194301, F256, 2, 18) (dual of [(4194301, 2), 8388550, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 19]-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(12875, 2097407, S128, 4, 18) | [i] | OOA Folding | |