Information on Result #897798
Linear OOA(9147, 768, F9, 2, 45) (dual of [(768, 2), 1389, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(925, 28, F9, 2, 22) (dual of [(28, 2), 31, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,33P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,33P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(9147, 384, F9, 3, 45) (dual of [(384, 3), 1005, 46]-NRT-code) | [i] | OOA Folding | |