Information on Result #1696263
Linear OOA(272, 40, F2, 8, 30) (dual of [(40, 8), 248, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(272, 40, F2, 5, 30) (dual of [(40, 5), 128, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (42, 72, 40)-net over F2, using
- trace code for nets [i] based on digital (6, 36, 20)-net over F4, using
- net from sequence [i] based on digital (6, 19)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 6 and N(F) ≥ 20, using
- net from sequence [i] based on digital (6, 19)-sequence over F4, using
- trace code for nets [i] based on digital (6, 36, 20)-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(273, 40, F2, 8, 30) (dual of [(40, 8), 247, 31]-NRT-code) | [i] | OOA Duplication | |