Information on Result #1083827
Linear OOA(25647, 2097665, F256, 4, 13) (dual of [(2097665, 4), 8390613, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25610, 515, F256, 4, 6) (dual of [(515, 4), 2050, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1025,256) [i]
- linear OOA(2567, 258, F256, 4, 6) (dual of [(258, 4), 1025, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 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, 7, 258)-net over F256, using
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25637, 2097150, F256, 4, 13) (dual of [(2097150, 4), 8388563, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 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 4-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-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(25663, 4195330, F256, 4, 13) (dual of [(4195330, 4), 16781257, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |