Information on Result #1009034
Linear OOA(2138, 4194305, F2, 3, 10) (dual of [(4194305, 3), 12582777, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OOA(2133, 4194302, F2, 3, 10) (dual of [(4194302, 3), 12582773, 11]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2134, 4194303, F2, 3, 11) (dual of [(4194303, 3), 12582775, 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(2138, 4194305, F2, 4, 10) (dual of [(4194305, 4), 16777082, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2138, 4194305, F2, 5, 10) (dual of [(4194305, 5), 20971387, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2138, 4194305, F2, 6, 10) (dual of [(4194305, 6), 25165692, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2138, 4194305, F2, 7, 10) (dual of [(4194305, 7), 29359997, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(2138, 4194305, F2, 8, 10) (dual of [(4194305, 8), 33554302, 11]-NRT-code) | [i] | ||
| 6 | Digital (128, 138, 4194305)-net over F2 | [i] | ||