Information on Result #1131837
Linear OOA(2180, 43690, F2, 6, 20) (dual of [(43690, 6), 261960, 21]-NRT-code), using OOA 6-folding based on linear OA(2180, 262140, F2, 20) (dual of [262140, 261960, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2180, 262144, F2, 20) (dual of [262144, 261964, 21]-code), using
- 1 times truncation [i] based on linear OA(2181, 262145, F2, 21) (dual of [262145, 261964, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2181, 262145, F2, 21) (dual of [262145, 261964, 22]-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(2180, 43690, F2, 7, 20) (dual of [(43690, 7), 305650, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2180, 43690, F2, 8, 20) (dual of [(43690, 8), 349340, 21]-NRT-code) | [i] | ||
| 3 | Digital (160, 180, 43690)-net over F2 | [i] | ||