Information on Result #906575
Linear OOA(767, 51, F7, 2, 35) (dual of [(51, 2), 35, 36]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(75, 8, F7, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;11,7) [i]
- linear OOA(77, 8, F7, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;9,7) [i]
- linear OOA(78, 8, F7, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;8,7) [i]
- linear OOA(712, 9, F7, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(712, 13, F7, 2, 11) (dual of [(13, 2), 14, 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, 2, 11) (dual of [(13, 2), 14, 12]-NRT-code), using
- linear OOA(717, 9, F7, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
- dual of repetition NRT-code with length 9 [i]
- linear OOA(718, 9, F7, 2, 18) (dual of [(9, 2), 0, 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.