Information on Result #1176609
Linear OOA(2215, 76, F2, 8, 78) (dual of [(76, 8), 393, 79]-NRT-code), using (u, u+v)-construction based on
- linear OOA(278, 33, F2, 8, 39) (dual of [(33, 8), 186, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,224P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2137, 43, F2, 8, 78) (dual of [(43, 8), 207, 79]-NRT-code), using
- extracting embedded OOA [i] based on digital (59, 137, 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, 137, 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(2215, 76, F2, 8, 77) (dual of [(76, 8), 393, 78]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2215, 76, F2, 8, 76) (dual of [(76, 8), 393, 77]-NRT-code) | [i] | ||