Information on Result #1009556
Linear OOA(2258, 2796233, F2, 3, 20) (dual of [(2796233, 3), 8388441, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 32, F2, 3, 10) (dual of [(32, 3), 68, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 28, 32)-net over F2, using
- 4 times m-reduction [i] based on digital (18, 32, 32)-net over F2, using
- extracting embedded OOA [i] based on digital (18, 28, 32)-net over F2, using
- linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-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(2258, 1398116, F2, 6, 20) (dual of [(1398116, 6), 8388438, 21]-NRT-code) | [i] | OOA Folding | |