Information on Result #808991
Linear OOA(2242, 1024, F2, 2, 44) (dual of [(1024, 2), 1806, 45]-NRT-code), using OOA 2-folding based on linear OA(2242, 2048, F2, 44) (dual of [2048, 1806, 45]-code), using
- 1 times truncation [i] based on linear OA(2243, 2049, F2, 45) (dual of [2049, 1806, 46]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(2242, 875, F2, 3, 44) (dual of [(875, 3), 2383, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2242, 875, F2, 4, 44) (dual of [(875, 4), 3258, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(2242, 875, F2, 5, 44) (dual of [(875, 5), 4133, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(2242, 875, F2, 6, 44) (dual of [(875, 6), 5008, 45]-NRT-code) | [i] | ||
| 5 | Linear OOA(2242, 875, F2, 7, 44) (dual of [(875, 7), 5883, 45]-NRT-code) | [i] | ||
| 6 | Linear OOA(2242, 875, F2, 8, 44) (dual of [(875, 8), 6758, 45]-NRT-code) | [i] | ||
| 7 | Digital (198, 242, 875)-net over F2 | [i] | ||