Information on Result #1144857
Linear OOA(2251, 70, F2, 6, 107) (dual of [(70, 6), 169, 108]-NRT-code), using (u, u+v)-construction based on
- linear OOA(274, 21, F2, 6, 53) (dual of [(21, 6), 52, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,72P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(2177, 49, F2, 6, 107) (dual of [(49, 6), 117, 108]-NRT-code), using
- extracting embedded OOA [i] based on digital (70, 177, 49)-net over F2, using
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- extracting embedded OOA [i] based on digital (70, 177, 49)-net over F2, 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(2251, 70, F2, 6, 106) (dual of [(70, 6), 169, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2252, 70, F2, 6, 107) (dual of [(70, 6), 168, 108]-NRT-code) | [i] | OOA Duplication | |