Information on Result #1087207
Linear OOA(3222, 61, F3, 4, 161) (dual of [(61, 4), 22, 162]-NRT-code), using juxtaposition based on
- linear OOA(374, 24, F3, 4, 61) (dual of [(24, 4), 22, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,34P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- linear OOA(3126, 37, F3, 4, 99) (dual of [(37, 4), 22, 100]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 126, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 126, 37)-net over F3, 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(3222, 61, F3, 4, 160) (dual of [(61, 4), 22, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, 61, F3, 4, 159) (dual of [(61, 4), 22, 160]-NRT-code) | [i] | ||
| 3 | Linear OOA(3222, 61, F3, 4, 158) (dual of [(61, 4), 22, 159]-NRT-code) | [i] | ||
| 4 | Linear OOA(3222, 61, F3, 4, 157) (dual of [(61, 4), 22, 158]-NRT-code) | [i] | ||