Information on Result #1087368
Linear OOA(3143, 39, F3, 4, 111) (dual of [(39, 4), 13, 112]-NRT-code), using juxtaposition based on
- linear OOA(339, 13, F3, 4, 34) (dual of [(13, 4), 13, 35]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 39, 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, 39, 13)-net over F3, using
- linear OOA(391, 26, F3, 4, 76) (dual of [(26, 4), 13, 77]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(391, 27, F3, 4, 76) (dual of [(27, 4), 17, 77]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,31P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(391, 27, F3, 4, 76) (dual of [(27, 4), 17, 77]-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(3143, 39, F3, 4, 110) (dual of [(39, 4), 13, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3143, 39, F3, 4, 109) (dual of [(39, 4), 13, 110]-NRT-code) | [i] | ||