Information on Result #897756
Linear OOA(9144, 776, F9, 2, 42) (dual of [(776, 2), 1408, 43]-NRT-code), using (u, u+v)-construction based on
- linear OOA(928, 36, F9, 2, 21) (dual of [(36, 2), 44, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,50P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- linear OOA(9116, 740, F9, 2, 42) (dual of [(740, 2), 1364, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (74, 116, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 58, 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, 58, 370)-net over F81, using
- extracting embedded OOA [i] based on digital (74, 116, 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(9144, 388, F9, 3, 42) (dual of [(388, 3), 1020, 43]-NRT-code) | [i] | OOA Folding |