Information on Result #1120989
Linear OOA(3195, 43, F3, 5, 152) (dual of [(43, 5), 20, 153]-NRT-code), using juxtaposition based on
- linear OOA(380, 20, F3, 5, 69) (dual of [(20, 5), 20, 70]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 80, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 80, 20)-net over F3, using
- linear OOA(395, 23, F3, 5, 82) (dual of [(23, 5), 20, 83]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(395, 24, F3, 5, 82) (dual of [(24, 5), 25, 83]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,37P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(395, 24, F3, 5, 82) (dual of [(24, 5), 25, 83]-NRT-code), 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(3195, 43, F3, 5, 151) (dual of [(43, 5), 20, 152]-NRT-code) | [i] | Strength Reduction for OOAs | |