Information on Result #2226965
Linear OA(2239, 2111, F2, 40) (dual of [2111, 1872, 41]-code), using 1 times truncation based on linear OA(2240, 2112, F2, 41) (dual of [2112, 1872, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- linear OA(2221, 2049, F2, 41) (dual of [2049, 1828, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [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(2239, 1103, F2, 2, 40) (dual of [(1103, 2), 1967, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(2239, 1103, F2, 3, 40) (dual of [(1103, 3), 3070, 41]-NRT-code) | [i] | ||
3 | Linear OOA(2239, 1103, F2, 4, 40) (dual of [(1103, 4), 4173, 41]-NRT-code) | [i] | ||
4 | Linear OOA(2239, 1103, F2, 5, 40) (dual of [(1103, 5), 5276, 41]-NRT-code) | [i] | ||
5 | Linear OOA(2239, 1103, F2, 6, 40) (dual of [(1103, 6), 6379, 41]-NRT-code) | [i] | ||
6 | Linear OOA(2239, 1103, F2, 7, 40) (dual of [(1103, 7), 7482, 41]-NRT-code) | [i] | ||
7 | Linear OOA(2239, 1103, F2, 8, 40) (dual of [(1103, 8), 8585, 41]-NRT-code) | [i] | ||
8 | Digital (199, 239, 1103)-net over F2 | [i] | ||
9 | Linear OOA(2239, 1055, F2, 2, 40) (dual of [(1055, 2), 1871, 41]-NRT-code) | [i] | OOA Folding | |
10 | Linear OOA(2239, 703, F2, 3, 40) (dual of [(703, 3), 1870, 41]-NRT-code) | [i] | ||
11 | Linear OOA(2239, 527, F2, 4, 40) (dual of [(527, 4), 1869, 41]-NRT-code) | [i] | ||
12 | Linear OOA(2239, 422, F2, 5, 40) (dual of [(422, 5), 1871, 41]-NRT-code) | [i] | ||
13 | Linear OOA(2239, 351, F2, 6, 40) (dual of [(351, 6), 1867, 41]-NRT-code) | [i] | ||
14 | Linear OOA(2239, 301, F2, 7, 40) (dual of [(301, 7), 1868, 41]-NRT-code) | [i] | ||
15 | Linear OOA(2239, 263, F2, 8, 40) (dual of [(263, 8), 1865, 41]-NRT-code) | [i] |