Information on Result #897008
Linear OOA(8119, 378, F8, 2, 41) (dual of [(378, 2), 637, 42]-NRT-code), using (u, u+v)-construction based on
- linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(896, 354, F8, 2, 41) (dual of [(354, 2), 612, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (55, 96, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 48, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 48, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (55, 96, 354)-net over F8, 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(8119, 189, F8, 3, 41) (dual of [(189, 3), 448, 42]-NRT-code) | [i] | OOA Folding | |