Information on Result #2791295
Linear OOA(2187, 199, F2, 4, 43) (dual of [(199, 4), 609, 44]-NRT-code), using 4 times NRT-code embedding in larger space based on linear OOA(2171, 195, F2, 4, 43) (dual of [(195, 4), 609, 44]-NRT-code), using
- extracting embedded OOA [i] based on digital (128, 171, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 57, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 57, 65)-net over F8, using
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(2188, 199, F2, 4, 43) (dual of [(199, 4), 608, 44]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2189, 199, F2, 4, 43) (dual of [(199, 4), 607, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(2190, 199, F2, 4, 43) (dual of [(199, 4), 606, 44]-NRT-code) | [i] | ||