Information on Result #948242
Linear OOA(2241, 1365, F2, 3, 41) (dual of [(1365, 3), 3854, 42]-NRT-code), using OOA 3-folding based on linear OA(2241, 4095, F2, 41) (dual of [4095, 3854, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(2241, 4096, F2, 41) (dual of [4096, 3855, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(2241, 1212, F2, 4, 41) (dual of [(1212, 4), 4607, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2241, 1212, F2, 5, 41) (dual of [(1212, 5), 5819, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(2241, 1212, F2, 6, 41) (dual of [(1212, 6), 7031, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(2241, 1212, F2, 7, 41) (dual of [(1212, 7), 8243, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(2241, 1212, F2, 8, 41) (dual of [(1212, 8), 9455, 42]-NRT-code) | [i] | ||
| 6 | Digital (200, 241, 1212)-net over F2 | [i] | ||