Information on Result #992736
Linear OOA(12861, 699051, F128, 3, 21) (dual of [(699051, 3), 2097092, 22]-NRT-code), using OOA 3-folding based on linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(12871, 699180, F128, 3, 21) (dual of [(699180, 3), 2097469, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12872, 699201, F128, 3, 21) (dual of [(699201, 3), 2097531, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(12874, 699243, F128, 3, 21) (dual of [(699243, 3), 2097655, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(12876, 699309, F128, 3, 21) (dual of [(699309, 3), 2097851, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(12877, 699330, F128, 3, 21) (dual of [(699330, 3), 2097913, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(12878, 699351, F128, 3, 21) (dual of [(699351, 3), 2097975, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(12861, 699051, F128, 4, 21) (dual of [(699051, 4), 2796143, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (40, 61, 699051)-net over F128 | [i] | ||