Information on Result #1831599
OOA(850, 538, S8, 2, 15), using (u, u+v)-construction based on
- linear OOA(810, 24, F8, 2, 7) (dual of [(24, 2), 38, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,40P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- OOA(840, 514, S8, 2, 15), using
- extracting embedded OOA [i] based on (25, 40, 514)-net in base 8, using
- base change [i] based on digital (15, 30, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 15, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 15, 257)-net over F256, using
- base change [i] based on digital (15, 30, 514)-net over F16, using
- extracting embedded OOA [i] based on (25, 40, 514)-net in base 8, using
Mode: Constructive.
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.