Information on Result #1144360
Linear OOA(2178, 72, F2, 6, 57) (dual of [(72, 6), 254, 58]-NRT-code), using (u, u+v)-construction based on
- linear OOA(270, 42, F2, 6, 28) (dual of [(42, 6), 182, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (42, 70, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 35, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- trace code for nets [i] based on digital (7, 35, 21)-net over F4, using
- extracting embedded OOA [i] based on digital (42, 70, 42)-net over F2, using
- linear OOA(2108, 36, F2, 6, 57) (dual of [(36, 6), 108, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (51, 108, 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, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (51, 35)-sequence over F2, using
- extracting embedded OOA [i] based on digital (51, 108, 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.