Information on Result #2794842
Linear OOA(2246, 117, F2, 4, 80) (dual of [(117, 4), 222, 81]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(2226, 112, F2, 4, 80) (dual of [(112, 4), 222, 81]-NRT-code), using
- extracting embedded OOA [i] based on digital (146, 226, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 113, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- trace code for nets [i] based on digital (33, 113, 56)-net over F4, 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(2247, 117, F2, 4, 80) (dual of [(117, 4), 221, 81]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2248, 117, F2, 4, 80) (dual of [(117, 4), 220, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(2249, 117, F2, 4, 80) (dual of [(117, 4), 219, 81]-NRT-code) | [i] | ||