Information on Result #1012829
Linear OOA(4238, 170, F4, 3, 81) (dual of [(170, 3), 272, 82]-NRT-code), using (u, u+v)-construction based on
- linear OOA(484, 66, F4, 3, 40) (dual of [(66, 3), 114, 41]-NRT-code), using
- extracting embedded OOA [i] based on digital (44, 84, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 42, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- trace code for nets [i] based on digital (2, 42, 33)-net over F16, using
- extracting embedded OOA [i] based on digital (44, 84, 66)-net over F4, using
- linear OOA(4154, 104, F4, 3, 81) (dual of [(104, 3), 158, 82]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, 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(4238, 170, F4, 3, 80) (dual of [(170, 3), 272, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4239, 170, F4, 3, 81) (dual of [(170, 3), 271, 82]-NRT-code) | [i] | OOA Duplication | |