Information on Result #1019064
Linear OOA(12822, 699180, F128, 3, 7) (dual of [(699180, 3), 2097518, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(12819, 699051, F128, 3, 7) (dual of [(699051, 3), 2097134, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(12875, 3495381, F128, 3, 14) (dual of [(3495381, 3), 10486068, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12822, 699179, F128, 4, 7) (dual of [(699179, 4), 2796694, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(12822, 699179, F128, 9, 7) (dual of [(699179, 9), 6292589, 8]-NRT-code) | [i] | ||