Information on Result #1020115
Linear OOA(25654, 2796716, F256, 3, 15) (dual of [(2796716, 3), 8390094, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 515, F256, 3, 7) (dual of [(515, 3), 1534, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(2568, 258, F256, 3, 7) (dual of [(258, 3), 766, 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, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25643, 2796201, F256, 3, 15) (dual of [(2796201, 3), 8388560, 16]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 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(12862, 2796716, S128, 3, 15) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25654, 1398358, F256, 6, 15) (dual of [(1398358, 6), 8390094, 16]-NRT-code) | [i] | OOA Folding | |