Information on Result #1083825
Linear OOA(25645, 2097409, F256, 4, 13) (dual of [(2097409, 4), 8389591, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2568, 259, F256, 4, 6) (dual of [(259, 4), 1028, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- extracting embedded OOA [i] based on digital (2, 8, 259)-net over F256, using
- 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 | OOA(12852, 2097409, S128, 4, 13) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25661, 4194818, F256, 4, 13) (dual of [(4194818, 4), 16779211, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |