Information on Result #1151831
Linear OOA(2252, 299593, F2, 7, 24) (dual of [(299593, 7), 2096899, 25]-NRT-code), using OOA 7-folding based on linear OA(2252, 2097151, F2, 24) (dual of [2097151, 2096899, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2252, 2097152, F2, 24) (dual of [2097152, 2096900, 25]-code), using
- 1 times truncation [i] based on linear OA(2253, 2097153, F2, 25) (dual of [2097153, 2096900, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2253, 2097153, F2, 25) (dual of [2097153, 2096900, 26]-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, 276710, F2, 8, 24) (dual of [(276710, 8), 2213428, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (228, 252, 276710)-net over F2 | [i] | ||