Information on Result #980906
Linear OOA(8124, 242, F8, 3, 37) (dual of [(242, 3), 602, 38]-NRT-code), using OOA 2-folding based on linear OOA(8124, 484, F8, 2, 37) (dual of [(484, 2), 844, 38]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(836, 130, F8, 2, 18) (dual of [(130, 2), 224, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 36, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 18, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- trace code for nets [i] based on digital (0, 18, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (18, 36, 130)-net over F8, using
- linear OOA(888, 354, F8, 2, 37) (dual of [(354, 2), 620, 38]-NRT-code), using
- extracting embedded OOA [i] based on digital (51, 88, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 44, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 44, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (51, 88, 354)-net over F8, using
- linear OOA(836, 130, F8, 2, 18) (dual of [(130, 2), 224, 19]-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.