Information on Result #1547147
Linear OOA(538, 112, F5, 3, 16) (dual of [(112, 3), 298, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(538, 112, F5, 2, 16) (dual of [(112, 2), 186, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 38, 112)-net over F5, using
- trace code for nets [i] based on digital (3, 19, 56)-net over F25, using
- net from sequence [i] based on digital (3, 55)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 56, using
- net from sequence [i] based on digital (3, 55)-sequence over F25, using
- trace code for nets [i] based on digital (3, 19, 56)-net over F25, 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(539, 112, F5, 3, 16) (dual of [(112, 3), 297, 17]-NRT-code) | [i] | OOA Duplication | |