Information on Result #1160694
Linear OOA(2226, 77, F2, 7, 83) (dual of [(77, 7), 313, 84]-NRT-code), using (u, u+v)-construction based on
- linear OOA(289, 35, F2, 7, 41) (dual of [(35, 7), 156, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (48, 89, 35)-net over F2, using
- net from sequence [i] based on digital (48, 34)-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 2 places 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 (48, 34)-sequence over F2, using
- extracting embedded OOA [i] based on digital (48, 89, 35)-net over F2, using
- linear OOA(2137, 42, F2, 7, 83) (dual of [(42, 7), 157, 84]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,210P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(7;F,35P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
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(2226, 77, F2, 7, 82) (dual of [(77, 7), 313, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2227, 77, F2, 7, 83) (dual of [(77, 7), 312, 84]-NRT-code) | [i] | OOA Duplication | |