Information on Result #897725
Linear OOA(9134, 760, F9, 2, 40) (dual of [(760, 2), 1386, 41]-NRT-code), using (u, u+v)-construction based on
- linear OOA(922, 20, F9, 2, 20) (dual of [(20, 2), 18, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- linear OOA(9112, 740, F9, 2, 40) (dual of [(740, 2), 1368, 41]-NRT-code), using
- extracting embedded OOA [i] based on digital (72, 112, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 56, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 56, 370)-net over F81, using
- extracting embedded OOA [i] based on digital (72, 112, 740)-net over F9, 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(9134, 380, F9, 3, 40) (dual of [(380, 3), 1006, 41]-NRT-code) | [i] | OOA Folding | |