Information on Result #1160678
Linear OOA(2222, 71, F2, 7, 82) (dual of [(71, 7), 275, 83]-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(2133, 36, F2, 7, 82) (dual of [(36, 7), 119, 83]-NRT-code), using
- extracting embedded OOA [i] based on digital (51, 133, 36)-net over F2, using
- net from sequence [i] based on digital (51, 35)-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 3 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32 (see above)
- net from sequence [i] based on digital (51, 35)-sequence over F2, using
- extracting embedded OOA [i] based on digital (51, 133, 36)-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
None.