Information on Result #1080167
Linear OOA(2258, 2097180, F2, 4, 21) (dual of [(2097180, 4), 8388462, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 30, F2, 4, 10) (dual of [(30, 4), 93, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 27, 30)-net over F2, using
- 3 times m-reduction [i] based on digital (17, 30, 30)-net over F2, using
- extracting embedded OOA [i] based on digital (17, 27, 30)-net over F2, using
- linear OOA(2231, 2097150, F2, 4, 21) (dual of [(2097150, 4), 8388369, 22]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 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(2258, 1048590, F2, 8, 21) (dual of [(1048590, 8), 8388462, 22]-NRT-code) | [i] | OOA Folding | |