Information on Result #890121
Linear OOA(714, 100, F7, 2, 7) (dual of [(100, 2), 186, 8]-NRT-code), using extracting embedded OOA based on digital (7, 14, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 7, 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(715, 100, F7, 2, 7) (dual of [(100, 2), 185, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(717, 108, F7, 2, 7) (dual of [(108, 2), 199, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(719, 200, F7, 2, 7) (dual of [(200, 2), 381, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(742, 200, F7, 2, 14) (dual of [(200, 2), 358, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(744, 202, F7, 2, 14) (dual of [(202, 2), 360, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(744, 200, F7, 2, 15) (dual of [(200, 2), 356, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(746, 202, F7, 2, 15) (dual of [(202, 2), 358, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(721, 208, F7, 2, 7) (dual of [(208, 2), 395, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(722, 257, F7, 2, 7) (dual of [(257, 2), 492, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(714, 50, F7, 3, 7) (dual of [(50, 3), 136, 8]-NRT-code) | [i] | OOA Folding | |