Information on Result #1091592
Linear OOA(3159, 60, F3, 4, 86) (dual of [(60, 4), 81, 87]-NRT-code), using construction X applied to AG(4;F,101P) ⊂ AG(4;F,125P) based on
- linear OOA(3131, 47, F3, 4, 86) (dual of [(47, 4), 57, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,101P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3107, 47, F3, 4, 62) (dual of [(47, 4), 81, 63]-NRT-code), using algebraic-geometric NRT-code AG(4;F,125P) [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(3159, 60, F3, 4, 85) (dual of [(60, 4), 81, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3159, 60, F3, 4, 84) (dual of [(60, 4), 81, 85]-NRT-code) | [i] | ||