Information on Result #1009575
Linear OOA(2257, 2796230, F2, 3, 21) (dual of [(2796230, 3), 8388433, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(226, 29, F2, 3, 10) (dual of [(29, 3), 61, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 26, 29)-net over F2, using
- 3 times m-reduction [i] based on digital (16, 29, 29)-net over F2, using
- extracting embedded OOA [i] based on digital (16, 26, 29)-net over F2, using
- linear OOA(2231, 2796201, F2, 3, 21) (dual of [(2796201, 3), 8388372, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-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(2257, 1398115, F2, 6, 21) (dual of [(1398115, 6), 8388433, 22]-NRT-code) | [i] | OOA Folding | |