Information on Result #1004795
Linear OOA(728, 100, F7, 3, 14) (dual of [(100, 3), 272, 15]-NRT-code), using extracting embedded OOA based on digital (14, 28, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 14, 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(729, 100, F7, 3, 14) (dual of [(100, 3), 271, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(735, 108, F7, 3, 14) (dual of [(108, 3), 289, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(739, 121, F7, 3, 14) (dual of [(121, 3), 324, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(740, 126, F7, 3, 14) (dual of [(126, 3), 338, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(741, 150, F7, 3, 14) (dual of [(150, 3), 409, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(742, 200, F7, 3, 14) (dual of [(200, 3), 558, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(784, 200, F7, 3, 28) (dual of [(200, 3), 516, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(786, 202, F7, 3, 28) (dual of [(202, 3), 520, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(786, 200, F7, 3, 29) (dual of [(200, 3), 514, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(788, 202, F7, 3, 29) (dual of [(202, 3), 518, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(746, 208, F7, 3, 14) (dual of [(208, 3), 578, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |