Information on Result #1177066
Linear OOA(2253, 69, F2, 8, 107) (dual of [(69, 8), 299, 108]-NRT-code), using (u, u+v)-construction based on
- linear OOA(298, 34, F2, 8, 53) (dual of [(34, 8), 174, 54]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 98, 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, 98, 34)-net over F2, using
- linear OOA(2155, 35, F2, 8, 107) (dual of [(35, 8), 125, 108]-NRT-code), using
- extracting embedded OOA [i] based on digital (48, 155, 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 (see above)
- net from sequence [i] based on digital (48, 34)-sequence over F2, using
- extracting embedded OOA [i] based on digital (48, 155, 35)-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.