Information on Result #897665
Linear OOA(9115, 756, F9, 2, 33) (dual of [(756, 2), 1397, 34]-NRT-code), using (u, u+v)-construction based on
- linear OOA(917, 16, F9, 2, 16) (dual of [(16, 2), 15, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(998, 740, F9, 2, 33) (dual of [(740, 2), 1382, 34]-NRT-code), using
- extracting embedded OOA [i] based on digital (65, 98, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 49, 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, 49, 370)-net over F81, using
- extracting embedded OOA [i] based on digital (65, 98, 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(9115, 378, F9, 3, 33) (dual of [(378, 3), 1019, 34]-NRT-code) | [i] | OOA Folding | |