Information on Result #971943
Linear OOA(562, 4194301, F5, 3, 7) (dual of [(4194301, 3), 12582841, 8]-NRT-code), using OOA 2-folding based on linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-code), using
- trace code [i] based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-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(565, 4194307, F5, 3, 7) (dual of [(4194307, 3), 12582856, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(577, 7244627, F5, 3, 7) (dual of [(7244627, 3), 21733804, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(578, 8388602, F5, 3, 7) (dual of [(8388602, 3), 25165728, 8]-NRT-code) | [i] | ||