Information on Result #1159906
Linear OOA(2206, 1198410, F2, 7, 17) (dual of [(1198410, 7), 8388664, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 39, F2, 7, 8) (dual of [(39, 7), 252, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- linear OOA(2185, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388412, 18]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2185, 8388597, F2, 17) (dual of [8388597, 8388412, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 7-folding [i] based on linear OA(2185, 8388597, F2, 17) (dual of [8388597, 8388412, 18]-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(2206, 1198410, F2, 7, 16) (dual of [(1198410, 7), 8388664, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2207, 1198410, F2, 7, 17) (dual of [(1198410, 7), 8388663, 18]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2208, 1198410, F2, 7, 17) (dual of [(1198410, 7), 8388662, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2209, 1198410, F2, 7, 17) (dual of [(1198410, 7), 8388661, 18]-NRT-code) | [i] | ||