Information on Result #897799
Linear OOA(9148, 770, F9, 2, 45) (dual of [(770, 2), 1392, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(926, 30, F9, 2, 22) (dual of [(30, 2), 34, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(9122, 740, F9, 2, 45) (dual of [(740, 2), 1358, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (77, 122, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 61, 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, 61, 370)-net over F81, using
- extracting embedded OOA [i] based on digital (77, 122, 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(9148, 385, F9, 3, 45) (dual of [(385, 3), 1007, 46]-NRT-code) | [i] | OOA Folding | |