Information on Result #1087631
Linear OOA(395, 25, F3, 4, 82) (dual of [(25, 4), 5, 83]-NRT-code), using juxtaposition based on
- linear OOA(343, 12, F3, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- linear OOA(347, 13, F3, 4, 42) (dual of [(13, 4), 5, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 47, 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, 47, 13)-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(395, 25, F3, 4, 81) (dual of [(25, 4), 5, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3143, 37, F3, 4, 122) (dual of [(37, 4), 5, 123]-NRT-code) | [i] | Juxtaposition for OOAs | |