Information on Result #1151390
Linear OOA(2199, 599186, F2, 7, 19) (dual of [(599186, 7), 4194103, 20]-NRT-code), using OOA 7-folding based on linear OA(2199, 4194302, F2, 19) (dual of [4194302, 4194103, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2199, 4194304, F2, 19) (dual of [4194304, 4194105, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2199, 599186, F2, 8, 19) (dual of [(599186, 8), 4793289, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (180, 199, 599186)-net over F2 | [i] | ||