Information on Result #1004638
Linear OOA(77, 50, F7, 3, 4) (dual of [(50, 3), 143, 5]-NRT-code), using extracting embedded OOA based on digital (3, 7, 50)-net over F7, using
- base reduction for projective spaces (embedding PG(3,49) in PG(6,7)) for nets [i] based on digital (0, 4, 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(723, 150, F7, 3, 8) (dual of [(150, 3), 427, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(765, 3843252, F7, 3, 8) (dual of [(3843252, 3), 11529691, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(779, 5592452, F7, 3, 8) (dual of [(5592452, 3), 16777277, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(725, 150, F7, 3, 9) (dual of [(150, 3), 425, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(773, 3843252, F7, 3, 9) (dual of [(3843252, 3), 11529683, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(789, 5592452, F7, 3, 9) (dual of [(5592452, 3), 16777267, 10]-NRT-code) | [i] | ||