Information on Result #1152177
Linear OOA(2252, 37449, F2, 7, 28) (dual of [(37449, 7), 261891, 29]-NRT-code), using OOA 7-folding based on linear OA(2252, 262143, F2, 28) (dual of [262143, 261891, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2252, 262144, F2, 28) (dual of [262144, 261892, 29]-code), using
- 1 times truncation [i] based on linear OA(2253, 262145, F2, 29) (dual of [262145, 261892, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2253, 262145, F2, 29) (dual of [262145, 261892, 30]-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(2252, 37449, F2, 8, 28) (dual of [(37449, 8), 299340, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (224, 252, 37449)-net over F2 | [i] | ||