Information on Result #2664514
Linear OOA(786, 43, F7, 3, 45) (dual of [(43, 3), 43, 46]-NRT-code), using 2 step truncation based on linear OOA(788, 44, F7, 3, 47) (dual of [(44, 3), 44, 48]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(79, 8, F7, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,7) [i]
- linear OOA(712, 9, F7, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(712, 13, F7, 3, 11) (dual of [(13, 3), 27, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- 1 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- discarding factors / shortening the dual code based on linear OOA(712, 13, F7, 3, 11) (dual of [(13, 3), 27, 12]-NRT-code), using
- linear OOA(716, 9, F7, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 16, 9)-net over F7, using
- net from sequence [i] based on digital (1, 8)-sequence over F7, using
- extracting embedded OOA [i] based on digital (1, 16, 9)-net over F7, using
- linear OOA(724, 9, F7, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 24, 9)-net over F7, using
- net from sequence [i] based on digital (1, 8)-sequence over F7 (see above)
- extracting embedded OOA [i] based on digital (1, 24, 9)-net over F7, using
- linear OOA(727, 9, F7, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code), using
- linear OOA(79, 8, F7, 3, 9) (dual of [(8, 3), 15, 10]-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.