Information on Result #1004648
Linear OOA(710, 100, F7, 3, 5) (dual of [(100, 3), 290, 6]-NRT-code), using extracting embedded OOA 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
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(711, 100, F7, 3, 5) (dual of [(100, 3), 289, 6]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(712, 108, F7, 3, 5) (dual of [(108, 3), 312, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(730, 200, F7, 3, 10) (dual of [(200, 3), 570, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(784, 3843302, F7, 3, 10) (dual of [(3843302, 3), 11529822, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(7102, 5592502, F7, 3, 10) (dual of [(5592502, 3), 16777404, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(732, 200, F7, 3, 11) (dual of [(200, 3), 568, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(734, 202, F7, 3, 11) (dual of [(202, 3), 572, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(792, 3843302, F7, 3, 11) (dual of [(3843302, 3), 11529814, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(735, 208, F7, 3, 11) (dual of [(208, 3), 589, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |