Information on Result #1026520
Linear OOA(3106, 37, F3, 3, 85) (dual of [(37, 3), 5, 86]-NRT-code), using juxtaposition based on
- linear OOA(331, 12, F3, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- linear OOA(370, 25, F3, 3, 57) (dual of [(25, 3), 5, 58]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(331, 12, F3, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code) (see above)
- linear OOA(334, 13, F3, 3, 29) (dual of [(13, 3), 5, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 34, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- extracting embedded OOA [i] based on digital (5, 34, 13)-net over F3, using
- juxtaposition [i] based on
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(3106, 37, F3, 3, 84) (dual of [(37, 3), 5, 85]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3106, 37, F3, 3, 83) (dual of [(37, 3), 5, 84]-NRT-code) | [i] | ||
| 3 | Linear OOA(3106, 37, F3, 3, 82) (dual of [(37, 3), 5, 83]-NRT-code) | [i] | ||
| 4 | Linear OOA(3142, 49, F3, 3, 113) (dual of [(49, 3), 5, 114]-NRT-code) | [i] | Juxtaposition for OOAs | |