Information on Result #1026041
Linear OOA(3179, 65, F3, 3, 122) (dual of [(65, 3), 16, 123]-NRT-code), using juxtaposition based on
- linear OOA(368, 28, F3, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,30P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(395, 37, F3, 3, 68) (dual of [(37, 3), 16, 69]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 95, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 95, 37)-net over F3, 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(3179, 65, F3, 3, 121) (dual of [(65, 3), 16, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3179, 65, F3, 3, 120) (dual of [(65, 3), 16, 121]-NRT-code) | [i] | ||
3 | Linear OOA(3179, 65, F3, 3, 119) (dual of [(65, 3), 16, 120]-NRT-code) | [i] | ||
4 | Linear OOA(3179, 65, F3, 3, 118) (dual of [(65, 3), 16, 119]-NRT-code) | [i] |