Information on Result #1126971
Linear OOA(3178, 60, F3, 5, 98) (dual of [(60, 5), 122, 99]-NRT-code), using construction X applied to AG(5;F,136P) ⊂ AG(5;F,167P) based on
- linear OOA(3143, 47, F3, 5, 98) (dual of [(47, 5), 92, 99]-NRT-code), using algebraic-geometric NRT-code AG(5;F,136P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3112, 47, F3, 5, 67) (dual of [(47, 5), 123, 68]-NRT-code), using algebraic-geometric NRT-code AG(5;F,167P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(335, 13, F3, 5, 30) (dual of [(13, 5), 30, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 35, 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, 35, 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(3178, 60, F3, 5, 97) (dual of [(60, 5), 122, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3178, 60, F3, 5, 96) (dual of [(60, 5), 122, 97]-NRT-code) | [i] | ||