Information on Result #1087369
Linear OOA(3147, 40, F3, 4, 115) (dual of [(40, 4), 13, 116]-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(395, 27, F3, 4, 80) (dual of [(27, 4), 13, 81]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(395, 28, F3, 4, 80) (dual of [(28, 4), 17, 81]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(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(395, 28, F3, 4, 80) (dual of [(28, 4), 17, 81]-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(3147, 40, F3, 4, 114) (dual of [(40, 4), 13, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |