Information on Result #992556
Linear OOA(12849, 699051, F128, 3, 17) (dual of [(699051, 3), 2097104, 18]-NRT-code), using OOA 3-folding based on linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(12857, 699180, F128, 3, 17) (dual of [(699180, 3), 2097483, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12858, 699201, F128, 3, 17) (dual of [(699201, 3), 2097545, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(12860, 699243, F128, 3, 17) (dual of [(699243, 3), 2097669, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(12861, 699309, F128, 3, 17) (dual of [(699309, 3), 2097866, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(12862, 699330, F128, 3, 17) (dual of [(699330, 3), 2097928, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(12863, 699351, F128, 3, 17) (dual of [(699351, 3), 2097990, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(12863, 699438, F128, 3, 17) (dual of [(699438, 3), 2098251, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(12849, 699051, F128, 4, 17) (dual of [(699051, 4), 2796155, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Digital (32, 49, 699051)-net over F128 | [i] | ||