Information on Result #992481
Linear OOA(12843, 699051, F128, 3, 15) (dual of [(699051, 3), 2097110, 16]-NRT-code), using OOA 3-folding based on linear OA(12843, 2097153, F128, 15) (dual of [2097153, 2097110, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(12850, 699180, F128, 3, 15) (dual of [(699180, 3), 2097490, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12851, 699201, F128, 3, 15) (dual of [(699201, 3), 2097552, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(12853, 699309, F128, 3, 15) (dual of [(699309, 3), 2097874, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(12854, 699330, F128, 3, 15) (dual of [(699330, 3), 2097936, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(12855, 699351, F128, 3, 15) (dual of [(699351, 3), 2097998, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(12855, 699438, F128, 3, 15) (dual of [(699438, 3), 2098259, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(12843, 699051, F128, 4, 15) (dual of [(699051, 4), 2796161, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (28, 43, 699051)-net over F128 | [i] | ||