Information on Result #1026044
Linear OOA(3188, 68, F3, 3, 125) (dual of [(68, 3), 16, 126]-NRT-code), using juxtaposition based on
- linear OOA(377, 31, F3, 3, 56) (dual of [(31, 3), 16, 57]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- linear OOA(395, 37, F3, 3, 68) (dual of [(37, 3), 16, 69]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 95, 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, 95, 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(3188, 68, F3, 3, 124) (dual of [(68, 3), 16, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3188, 68, F3, 3, 123) (dual of [(68, 3), 16, 124]-NRT-code) | [i] | ||