Information on Result #896248
Linear OOA(712, 108, F7, 2, 5) (dual of [(108, 2), 204, 6]-NRT-code), using (u, u+v)-construction 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
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(786, 5764912, F7, 2, 10) (dual of [(5764912, 2), 11529738, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(794, 5764912, F7, 2, 11) (dual of [(5764912, 2), 11529730, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(712, 107, F7, 3, 5) (dual of [(107, 3), 309, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(712, 107, F7, 6, 5) (dual of [(107, 6), 630, 6]-NRT-code) | [i] | ||