Information on Result #1019976
Linear OOA(25640, 2829098, F256, 3, 11) (dual of [(2829098, 3), 8487254, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 32897, F256, 3, 5) (dual of [(32897, 3), 98682, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;769,256) [i]
- linear OOA(2567, 32640, F256, 3, 5) (dual of [(32640, 3), 97913, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25631, 2796201, F256, 3, 11) (dual of [(2796201, 3), 8388572, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- OOA 3-folding [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-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(12846, 2829098, S128, 3, 11) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25653, 5658196, F256, 3, 11) (dual of [(5658196, 3), 16974535, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |