Information on Result #1189594
Digital (7, 12, 107)-net over F7, using net defined by OOA based on linear OOA(712, 107, F7, 6, 5) (dual of [(107, 6), 630, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(712, 108, F7, 2, 5) (dual of [(108, 2), 204, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,7) [i]
- linear OOA(710, 100, F7, 2, 5) (dual of [(100, 2), 190, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 5, 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, 5, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (5, 10, 100)-net over F7, using
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.