Information on Result #992270
Linear OOA(12819, 699051, F128, 3, 7) (dual of [(699051, 3), 2097134, 8]-NRT-code), using OOA 3-folding 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]
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(12822, 699180, F128, 3, 7) (dual of [(699180, 3), 2097518, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12823, 715436, F128, 3, 7) (dual of [(715436, 3), 2146285, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(12824, 748207, F128, 3, 7) (dual of [(748207, 3), 2244597, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(12872, 3495252, F128, 3, 14) (dual of [(3495252, 3), 10485684, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(12876, 3495252, F128, 3, 15) (dual of [(3495252, 3), 10485680, 16]-NRT-code) | [i] | ||
| 6 | OOA(12865, 3495252, S128, 3, 14) | [i] | ||
| 7 | OOA(12869, 3495252, S128, 3, 15) | [i] | ||
| 8 | Linear OOA(12832, 6941863, F128, 3, 7) (dual of [(6941863, 3), 20825557, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(12833, large, F128, 3, 7) | [i] | ||