Information on Result #1012683
Linear OOA(4194, 163, F4, 3, 67) (dual of [(163, 3), 295, 68]-NRT-code), using (u, u+v)-construction based on
- linear OOA(448, 33, F4, 3, 33) (dual of [(33, 3), 51, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,65P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(4146, 130, F4, 3, 67) (dual of [(130, 3), 244, 68]-NRT-code), using
- extracting embedded OOA [i] based on digital (79, 146, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 73, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 73, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (79, 146, 130)-net over F4, 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(4194, 163, F4, 3, 66) (dual of [(163, 3), 295, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4197, 164, F4, 3, 67) (dual of [(164, 3), 295, 68]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4195, 163, F4, 3, 67) (dual of [(163, 3), 294, 68]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4196, 163, F4, 3, 67) (dual of [(163, 3), 293, 68]-NRT-code) | [i] | ||