Information on Result #1030826
Linear OOA(3107, 40, F3, 3, 76) (dual of [(40, 3), 13, 77]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,27P) based on
- linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(368, 27, F3, 3, 53) (dual of [(27, 3), 13, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,27P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(327, 13, F3, 3, 22) (dual of [(13, 3), 12, 23]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 27, 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, 27, 13)-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(3188, 67, F3, 3, 130) (dual of [(67, 3), 13, 131]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(3191, 68, F3, 3, 133) (dual of [(68, 3), 13, 134]-NRT-code) | [i] | ||