Information on Result #1040061
Linear OOA(5150, 100, F5, 3, 74) (dual of [(100, 3), 150, 75]-NRT-code), using construction X applied to AG(3;F,156P) ⊂ AG(3;F,187P) based on
- linear OOA(5112, 77, F5, 3, 74) (dual of [(77, 3), 119, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,156P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(581, 77, F5, 3, 43) (dual of [(77, 3), 150, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(538, 23, F5, 3, 30) (dual of [(23, 3), 31, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 38, 23)-net over F5, using
- net from sequence [i] based on digital (8, 22)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 7, N(F) = 22, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 7 and N(F) ≥ 22, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (8, 22)-sequence over F5, using
- extracting embedded OOA [i] based on digital (8, 38, 23)-net over F5, 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(5150, 100, F5, 3, 73) (dual of [(100, 3), 150, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |