Information on Result #1658709
Linear OOA(242, 8192, F2, 6, 6) (dual of [(8192, 6), 49110, 7]-NRT-code), using appending kth column based on linear OOA(242, 8192, F2, 5, 6) (dual of [(8192, 5), 40918, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(242, 8192, F2, 2, 6) (dual of [(8192, 2), 16342, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(240, 8191, F2, 2, 6) (dual of [(8191, 2), 16342, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 40, 8191)-net over F2, using
- 1 times m-reduction [i] based on digital (34, 41, 8191)-net over F2, using
- extracting embedded OOA [i] based on digital (34, 40, 8191)-net over F2, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(240, 8191, F2, 2, 6) (dual of [(8191, 2), 16342, 7]-NRT-code), using
Mode: 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(242, 8192, F2, 7, 6) (dual of [(8192, 7), 57302, 7]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(242, 8192, F2, 8, 6) (dual of [(8192, 8), 65494, 7]-NRT-code) | [i] | ||
| 3 | Digital (36, 42, 8192)-net over F2 | [i] | Net Defined by OOA | |