Information on Result #899045
Linear OOA(16109, 559, F16, 2, 42) (dual of [(559, 2), 1009, 43]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1625, 45, F16, 2, 21) (dual of [(45, 2), 65, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,68P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OOA(1684, 514, F16, 2, 42) (dual of [(514, 2), 944, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (42, 84, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 42, 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, 42, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (42, 84, 514)-net over F16, 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.