Information on Result #2816569
Linear OOA(281, 52, F2, 4, 31) (dual of [(52, 4), 127, 32]-NRT-code), using 21 times duplication based on linear OOA(280, 52, F2, 4, 31) (dual of [(52, 4), 128, 32]-NRT-code), using
- extracting embedded OOA [i] based on digital (49, 80, 52)-net over F2, using
- trace code for nets [i] based on digital (9, 40, 26)-net over F4, using
- net from sequence [i] based on digital (9, 25)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 26, using
- net from sequence [i] based on digital (9, 25)-sequence over F4, using
- trace code for nets [i] based on digital (9, 40, 26)-net over F4, 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(281, 51, F2, 5, 31) (dual of [(51, 5), 174, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |