Information on Result #2991138
Linear OOA(2238, 78, F2, 8, 88) (dual of [(78, 8), 386, 89]-NRT-code), using strength reduction based on linear OOA(2238, 78, F2, 8, 89) (dual of [(78, 8), 386, 90]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(295, 36, F2, 8, 44) (dual of [(36, 8), 193, 45]-NRT-code), using
- extracting embedded OOA [i] based on digital (51, 95, 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, 95, 36)-net over F2, using
- linear OOA(2143, 42, F2, 8, 89) (dual of [(42, 8), 193, 90]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,246P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(8;F,41P) 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]
- linear OOA(295, 36, F2, 8, 44) (dual of [(36, 8), 193, 45]-NRT-code), 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.