Information on Result #1121133
Linear OOA(3196, 41, F3, 5, 168) (dual of [(41, 5), 9, 169]-NRT-code), using juxtaposition based on
- linear OOA(356, 13, F3, 5, 51) (dual of [(13, 5), 9, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 56, 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, 56, 13)-net over F3, using
- linear OOA(3131, 28, F3, 5, 116) (dual of [(28, 5), 9, 117]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,23P) [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(3196, 41, F3, 5, 167) (dual of [(41, 5), 9, 168]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3196, 41, F3, 5, 166) (dual of [(41, 5), 9, 167]-NRT-code) | [i] | ||
| 3 | Linear OOA(3196, 41, F3, 5, 165) (dual of [(41, 5), 9, 166]-NRT-code) | [i] | ||
| 4 | Linear OOA(3196, 41, F3, 5, 164) (dual of [(41, 5), 9, 165]-NRT-code) | [i] | ||
| 5 | Linear OOA(3196, 41, F3, 5, 163) (dual of [(41, 5), 9, 164]-NRT-code) | [i] | ||