Information on Result #1091553
Linear OOA(3198, 60, F3, 4, 125) (dual of [(60, 4), 42, 126]-NRT-code), using construction X applied to AG(4;F,62P) ⊂ AG(4;F,86P) based on
- linear OOA(3170, 47, F3, 4, 125) (dual of [(47, 4), 18, 126]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3146, 47, F3, 4, 101) (dual of [(47, 4), 42, 102]-NRT-code), using algebraic-geometric NRT-code AG(4;F,86P) [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(3198, 60, F3, 4, 124) (dual of [(60, 4), 42, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3198, 60, F3, 4, 123) (dual of [(60, 4), 42, 124]-NRT-code) | [i] | ||