Information on Result #897232
Linear OOA(8166, 400, F8, 2, 57) (dual of [(400, 2), 634, 58]-NRT-code), using (u, u+v)-construction based on
- linear OOA(838, 46, F8, 2, 28) (dual of [(46, 2), 54, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 38, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- extracting embedded OOA [i] based on digital (10, 38, 46)-net over F8, using
- linear OOA(8128, 354, F8, 2, 57) (dual of [(354, 2), 580, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (71, 128, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 64, 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, 64, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (71, 128, 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(8166, 200, F8, 3, 57) (dual of [(200, 3), 434, 58]-NRT-code) | [i] | OOA Folding | |