Information on Result #2793404
Linear OOA(2137, 50, F2, 4, 63) (dual of [(50, 4), 63, 64]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2133, 49, F2, 4, 63) (dual of [(49, 4), 63, 64]-NRT-code), using
- extracting embedded OOA [i] based on digital (70, 133, 49)-net over F2, using
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (70, 48)-sequence over F2, 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(2138, 50, F2, 4, 63) (dual of [(50, 4), 62, 64]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2137, 25, F2, 7, 63) (dual of [(25, 7), 38, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2137, 25, F2, 8, 63) (dual of [(25, 8), 63, 64]-NRT-code) | [i] | ||