Information on Result #890154
Linear OOA(724, 100, F7, 2, 12) (dual of [(100, 2), 176, 13]-NRT-code), using extracting embedded OOA based on digital (12, 24, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 12, 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(725, 100, F7, 2, 12) (dual of [(100, 2), 175, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(730, 108, F7, 2, 12) (dual of [(108, 2), 186, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(736, 200, F7, 2, 12) (dual of [(200, 2), 364, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(772, 200, F7, 2, 24) (dual of [(200, 2), 328, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(774, 202, F7, 2, 24) (dual of [(202, 2), 330, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(774, 200, F7, 2, 25) (dual of [(200, 2), 326, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(776, 202, F7, 2, 25) (dual of [(202, 2), 328, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(724, 50, F7, 3, 12) (dual of [(50, 3), 126, 13]-NRT-code) | [i] | OOA Folding | |