Information on Result #1021960
Linear OOA(746, 208, F7, 3, 14) (dual of [(208, 3), 578, 15]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(74, 8, F7, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;20,7) [i]
- linear OOA(714, 100, F7, 3, 7) (dual of [(100, 3), 286, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 7, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- trace code for nets [i] based on digital (0, 7, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (7, 14, 100)-net over F7, using
- linear OOA(728, 100, F7, 3, 14) (dual of [(100, 3), 272, 15]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 28, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 14, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- trace code for nets [i] based on digital (0, 14, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (14, 28, 100)-net over F7, 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.