Information on Result #1079554
Linear OOA(2144, 4194304, F2, 4, 11) (dual of [(4194304, 4), 16777072, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25, 3, F2, 4, 5) (dual of [(3, 4), 7, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;7,2) [i]
- linear OOA(2139, 4194301, F2, 4, 11) (dual of [(4194301, 4), 16777065, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 2, 11) (dual of [(8388602, 2), 16777065, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2139, large, F2, 2, 11), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 2, 11) (dual of [(8388602, 2), 16777065, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2144, 4194304, F2, 5, 11) (dual of [(4194304, 5), 20971376, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2144, 4194304, F2, 6, 11) (dual of [(4194304, 6), 25165680, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2144, 4194304, F2, 7, 11) (dual of [(4194304, 7), 29359984, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(2144, 4194304, F2, 8, 11) (dual of [(4194304, 8), 33554288, 12]-NRT-code) | [i] | ||
| 5 | Digital (133, 144, 4194304)-net over F2 | [i] | ||