Information on Result #1091588
Linear OOA(3163, 60, F3, 4, 90) (dual of [(60, 4), 77, 91]-NRT-code), using construction X applied to AG(4;F,97P) ⊂ AG(4;F,121P) based on
- linear OOA(3135, 47, F3, 4, 90) (dual of [(47, 4), 53, 91]-NRT-code), using algebraic-geometric NRT-code AG(4;F,97P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3111, 47, F3, 4, 66) (dual of [(47, 4), 77, 67]-NRT-code), using algebraic-geometric NRT-code AG(4;F,121P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(328, 13, F3, 4, 23) (dual of [(13, 4), 24, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 28, 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, 28, 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(3163, 60, F3, 4, 89) (dual of [(60, 4), 77, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3163, 60, F3, 4, 88) (dual of [(60, 4), 77, 89]-NRT-code) | [i] | ||