Information on Result #1160665
Linear OOA(2218, 76, F2, 7, 80) (dual of [(76, 7), 314, 81]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, 33, F2, 7, 40) (dual of [(33, 7), 152, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,190P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2139, 43, F2, 7, 80) (dual of [(43, 7), 162, 81]-NRT-code), using
- extracting embedded OOA [i] based on digital (59, 139, 43)-net over F2, using
- net from sequence [i] based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (59, 42)-sequence over F2, using
- extracting embedded OOA [i] based on digital (59, 139, 43)-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(2218, 76, F2, 7, 79) (dual of [(76, 7), 314, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2218, 76, F2, 7, 78) (dual of [(76, 7), 314, 79]-NRT-code) | [i] | ||