Information on Result #1013664
Linear OOA(717, 200, F7, 3, 6) (dual of [(200, 3), 583, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(75, 132, F7, 3, 3) (dual of [(132, 3), 391, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(75, 132, F7, 2, 3) (dual of [(132, 2), 259, 4]-NRT-code), using
- linear OOA(712, 100, F7, 3, 6) (dual of [(100, 3), 288, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 6, 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, 6, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (6, 12, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(718, 200, F7, 3, 6) (dual of [(200, 3), 582, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(7107, 3843402, F7, 3, 12) (dual of [(3843402, 3), 11530099, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(717, 199, F7, 9, 6) (dual of [(199, 9), 1774, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |