Information on Result #1679319
Linear OOA(282, 52, F2, 7, 32) (dual of [(52, 7), 282, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(282, 52, F2, 6, 32) (dual of [(52, 6), 230, 33]-NRT-code), using
- extracting embedded OOA [i] based on digital (50, 82, 52)-net over F2, using
- trace code for nets [i] based on digital (9, 41, 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, 41, 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(283, 52, F2, 7, 32) (dual of [(52, 7), 281, 33]-NRT-code) | [i] | OOA Duplication | |