Information on Result #1121070
Linear OOA(3182, 39, F3, 5, 150) (dual of [(39, 5), 13, 151]-NRT-code), using juxtaposition based on
- linear OOA(352, 13, F3, 5, 47) (dual of [(13, 5), 13, 48]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 52, 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, 52, 13)-net over F3, using
- linear OOA(3117, 26, F3, 5, 102) (dual of [(26, 5), 13, 103]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3117, 28, F3, 5, 102) (dual of [(28, 5), 23, 103]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,37P) [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(3117, 28, F3, 5, 102) (dual of [(28, 5), 23, 103]-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(3182, 39, F3, 5, 149) (dual of [(39, 5), 13, 150]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 39, F3, 5, 148) (dual of [(39, 5), 13, 149]-NRT-code) | [i] | ||
| 3 | Linear OOA(3182, 39, F3, 5, 147) (dual of [(39, 5), 13, 148]-NRT-code) | [i] | ||
| 4 | Linear OOA(3182, 39, F3, 5, 146) (dual of [(39, 5), 13, 147]-NRT-code) | [i] | ||