Information on Result #1160681
Linear OOA(2222, 76, F2, 7, 82) (dual of [(76, 7), 310, 83]-NRT-code), using (u, u+v)-construction based on
- linear OOA(286, 34, F2, 7, 41) (dual of [(34, 7), 152, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 86, 34)-net over F2, using
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 1 place with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
- extracting embedded OOA [i] based on digital (45, 86, 34)-net over F2, using
- linear OOA(2136, 42, F2, 7, 82) (dual of [(42, 7), 158, 83]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,211P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2222, 76, F2, 7, 81) (dual of [(76, 7), 310, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |