Information on Result #1083886
Linear OOA(25651, 2097408, F256, 4, 15) (dual of [(2097408, 4), 8389581, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2568, 258, F256, 4, 7) (dual of [(258, 4), 1024, 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(25643, 2097150, F256, 4, 15) (dual of [(2097150, 4), 8388557, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 4-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-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(12859, 2097408, S128, 4, 15) | [i] | Discarding Parts of the Base for OOAs | |