Information on Result #905647
Linear OOA(25651, 4194816, F256, 2, 14) (dual of [(4194816, 2), 8389581, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 515, F256, 2, 7) (dual of [(515, 2), 1019, 8]-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(2568, 258, F256, 2, 7) (dual of [(258, 2), 508, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 8, 258)-net over F256, using
- 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(25640, 4194301, F256, 2, 14) (dual of [(4194301, 2), 8388562, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-code), using
Mode: Constructive and linear.
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 | Linear OOA(25651, 2097408, F256, 4, 14) (dual of [(2097408, 4), 8389581, 15]-NRT-code) | [i] | OOA Folding | |