Information on Result #1026105
Linear OOA(3107, 40, F3, 3, 75) (dual of [(40, 3), 13, 76]-NRT-code), using juxtaposition based on
- linear OOA(326, 13, F3, 3, 21) (dual of [(13, 3), 13, 22]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 26, 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, 26, 13)-net over F3, using
- linear OOA(368, 27, F3, 3, 53) (dual of [(27, 3), 13, 54]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,27P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(3107, 40, F3, 3, 74) (dual of [(40, 3), 13, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |