Information on Result #948052
Linear OOA(2229, 1365, F2, 3, 39) (dual of [(1365, 3), 3866, 40]-NRT-code), using OOA 3-folding based on linear OA(2229, 4095, F2, 39) (dual of [4095, 3866, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using
- an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(2229, 1171, F2, 4, 39) (dual of [(1171, 4), 4455, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2229, 1171, F2, 5, 39) (dual of [(1171, 5), 5626, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(2229, 1171, F2, 6, 39) (dual of [(1171, 6), 6797, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(2229, 1171, F2, 7, 39) (dual of [(1171, 7), 7968, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(2229, 1171, F2, 8, 39) (dual of [(1171, 8), 9139, 40]-NRT-code) | [i] | ||
| 6 | Digital (190, 229, 1171)-net over F2 | [i] | ||