Information on Result #1176347
Linear OOA(2159, 70, F2, 8, 51) (dual of [(70, 8), 401, 52]-NRT-code), using (u, u+v)-construction based on
- linear OOA(231, 10, F2, 8, 25) (dual of [(10, 8), 49, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,54P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- linear OOA(2128, 60, F2, 8, 51) (dual of [(60, 8), 352, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (77, 128, 60)-net over F2, using
- trace code for nets [i] based on digital (13, 64, 30)-net over F4, using
- net from sequence [i] based on digital (13, 29)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- net from sequence [i] based on digital (13, 29)-sequence over F4, using
- trace code for nets [i] based on digital (13, 64, 30)-net over F4, using
- extracting embedded OOA [i] based on digital (77, 128, 60)-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.