Information on Result #1091920
Linear OOA(3213, 67, F3, 4, 123) (dual of [(67, 4), 55, 124]-NRT-code), using construction X applied to AG(4;F,64P) ⊂ AG(4;F,99P) based on
- linear OOA(3168, 47, F3, 4, 123) (dual of [(47, 4), 20, 124]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3133, 47, F3, 4, 88) (dual of [(47, 4), 55, 89]-NRT-code), using algebraic-geometric NRT-code AG(4;F,99P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(345, 20, F3, 4, 34) (dual of [(20, 4), 35, 35]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 45, 20)-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(3213, 67, F3, 4, 122) (dual of [(67, 4), 55, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3213, 67, F3, 4, 121) (dual of [(67, 4), 55, 122]-NRT-code) | [i] | ||